I\'m facing the same issue as in Stack Overflow question "Google Play services are updating" in Google Maps API.
Unfortunately, out of nowhere, some o
Go to Settings → App → Google Play Services, and disable it to go back to the factory version.
Restart the phone and go to Google Play Store to do the update on Google Play Services.
It works for me. I can see the Google map again in a third-party app. If it says uninstall/disable, do that.