EA App Installation Times Out Every Time

I was getting the same error, too, but I found a fix for it! Here's what I did:

1. Open File Explorer
2. In the address bar, search for %programdata% which will take you to the ProgramData folder in your local C: disk
3. Within the ProgramData folder, find the folders EA Desktop and Electronic Arts
4. Add the characters bk (which stand for 'backup') to the end of each folder name: EA Desktopbk and Electronic Artsbk
5. Return to your File Explorer address bar and search for %localappdata% which will take you here: C:\Users\[name]\AppData\Local
6. Within the local app data folder, find the folder Electronic Arts and folders with EA in the name: the ones I had were named EA Desktop and EALaunchHelper.
7. Again, add the characters bk to the end of each folder name: Electronic Artsbk, EA Desktopbk, and EALaunchHelperbk. 
8. Try to install the EA Desktop App again.

I found this information from this video here (at the 1:40 time stamp). I hope this works for you, too!