Ok, The Third Goddesses has be reviled. Now the Question is, Who Do You Think Has The Last 3 Goddesses.

So Far we have:
Diana, goddess of the hunt, and protector of girls. In Tenri Ayukawa, Katsuragi's Childhood friend.

Apollo, god of light and the sun; truth and prophecy; music, poetry, and the arts; and more. In Kanon Nakagawa, the Idol, Singer.

Vulcan, god of technology, blacksmiths, craftsmen, artisans, sculptors, metals, metallurgy, fire and volcanoes. In Tsukiyo Kujou, the loner moon girl.

Ok, now the the last three are:
Minerva, goddess of poetry, medicine, wisdom, commerce, weaving, and crafts
Mars, god of war
Mercury, god of trade

Who do you think of the last 4 Girls well have the last 3 goddesses, or maybe Katsuragi made a mistake, and some are in other Girls.
Shiori Shiomiya - the Librarian
Ayumi Takahara - Track and Filed Runner
Yui Goidou - The boy want-a-be Drum player
Chihiro Kosaka - The boy admiring, Band Starter, guitar player

. . . . . . .

Now.
I think Minerva would have to be in Shiori Shiomiya, because Minerva is a goddess of wisdom, and Shiori is the most smart one.
Mercury would be in Ayumi Takahara, because Mercury is a Messenger god, a messenger would be fast, and Ayumi has always had a problem controlling her speed.
Finally Mars. Not sure my self. Would fit ether Yui or Chihiro.

What do you think?

85% of everything I say is a lie

Everything is right and I think Mars is Chihiro and Yui has her memory due to some other circumstances.

Beliefs are what divide people. Doubt unites them.

I Just Rellised that i put "How" not "Who" lol
I have no idea how to edit that

85% of everything I say is a lie

Lol I'd like it if Mars was Yuo just because that would make things more hilarious.

I kind of have the feeling that mars is in Yui, or at least one of the goddesses. Since I thought that would explain her seemingly sudden infatuation with Katsuragi while not really understanding why she was in love with him. Since she wouldn’t have a direct memory of most of the conquest events since she was separated from the goddess during that time due to her and Katsuragi switching bodies. Perhaps Katsuragi getting so flustered around her is also related to the goddesses influence and the time he was connected to it. Well that's just my theory...

I agree that Shiori would be the most suitable for Minerva and Ayumi for Mercury.

But I wouldn't rule out the possibility that one (or some) of the goddeses is in one of the girls already ruled out.
I think Kanon said that she couldn't remember anything until recently when Apollo apeared to her.
So maybe if the goddess inside is still very weak and hadn't apeared to the host then there would be no difference between the memories of a host and the other girls.

Ok, with a the new chapter out today. It looks like Yui is the next Goddess holder. No word on witch, but I'm betting Mars, like the others said.
Looks like Chihiro likes him for some other reason. unless my theory is wrong.

85% of everything I say is a lie

Chapter 142 has Mars in Yui. How unfortunate... I want the rest of the girls to be in the story somehow. Maybe Chihiro can have a goddess sister that no one knew of... or something. Hopefully not an enemy though it'd be great for the plot.

Well now, with a new chapter out, we get introduced to another goddess. This time it seems to be Shiori Shiomiya the Librarian. Nothing said on witch goddess, but I'm going with Minerva.
With that, we have only one goddess left, and if my theory is right, it should be Ayumi with ** Mercury**. Witch I would like, seems fitting. The first girl to fall for Katsuragi, (if u don't count that other girl from the light novels).

85% of everything I say is a lie

I was a bit disappointed with Yui having Mars, but the tomboyish nature does suit her...
Which means that either Chihiro or Ayumi do not have a goddess in them.

I think you're right about Shiori having Minerva, but the way I concluded that was not (or not just) because she's the goddess of wisdom (I didn't know that until you mentioned it), but because of the way the plot is progressing. They mentioned that to take Kanon/Apollo out of her slumber, they'll need Mercury, therefore, by inference from standard story-telling I predict that Mercury should be the last~ one to be captured; as Shiori's is already confirmed, then by process of elimination^: Minerva.

So,

1. Ayukawa Tenri - Diana
2. Nakagawa Kanon - Apollo
3. Kujyō Tsukiyo - Vulcan
4. Goidō Yui - Mars
5. Shiomiya Shiori - Minerva^
6. Takahara Ayumi - Mercury~
   *. Kosaka Chihiro - nil

I believe that Ayumi has the last one, because as you said, Mercury is the messenger goddess, the goddess of speed: Ayumi's in track. Also because (like you said), she's the first girl Keima captured, so it would be right that she harbours the last goddess.
But also! because Chihiro has always been a wildcard in TWGOK (in many ways*), so it makes sense that she ends up as the "remainder".
** She fits the heroine role the least (doesn't have defining traits), as defined by Keima.
** Her story involved Keima helping her to capture other guys, but she ended up falling in love with Keima on her own.
** She's probably the hardest capture for Keima so far (or would have been if he had actively pursued her), so according to Keima's theory about proximity of the girl and ease of capture, "they" wouldn't have hidden a goddess inside her.

If you were to go there and come back to me hurt, I will take your place.. and pull everything you hate.. into destruction...
I will erase anything that hurts you.. from the face of this world.