C.C.
If the computer is really old, you may not be able to upgrade to Mountain Lion. But you should still be able to update to Lion (10.7), which will get you some of the functionality, and should allow you to run the latest updates on your other software. First thing is to check and make sure your computer has enough brain power to run Mountain Lion. See the link below for more specifics: https://discussions.apple.com/thread/4200653?start=0&...
It sounds like you'll need to call Apple Tech Support in order to purchase Snow Leopard (10.6) since that is no longer sold in the App Store, and then you can upgrade from there (to Lion, then Mountain Lion), from the App Store. Good luck! :)