By default, any screenshots taken on Skype are stored in the C:\Users\Username\AppData\Roaming\Skype\Pictures folder on your computer. However, there is an easier way to find and view your snapshots, without leaving the application.
This guide will teach you how to view your Snapshots Gallery on Skype.
Find Snapshots Taken with Skype
To access your snapshots from the Skype interface, simply click View > Snapshots Gallery:
Select the snapshot of your choice, and click the Locate button:
Your computer will do a search for the selected image and point you to the folder in which it is being stored.