Now you need to collect all 5 of the mannequin parts. You can either get them from the source, or buy them from bazaars and through trades. They can not be sold through the Auction House. Click on the link to find out how to get the part:
Now go back to Mhaura and trade all 5 pieces to Fyi Chalmwoh. You have to wait until midnight JST to get it back from her.
She will give you the mannequin that is the same Race and gender as your character. If you want a different mannequin then trade the one that you have back to Fyi Chalmwoh and she'll let you choose another one for 10,000 gil.
Once you've completed this quest, you will now be able to buy more mannequins from Fyi Chalmwoh for 250,000 gil each.