OS: From the screenshots - Windows 10?
32-bit or 64-bit?
If you are being prompted to install FactoryTalk Services Platform v2.10 then the version of FactoryTalk View Studio that you have installed and are attempting to open must be relatively old...
I'd say around FTVS v5.10?
You have probably installed other somewhat newer Rockwell Software products that have installed a newer version of FTSP than v2.10.
What version of FTSP is currently installed?
Usually when this happens the solution is to patch upgrade the older version of FTVS to allow it to recognize the newer version of FTSP...
106083 - FactoryTalk View SE/ME 5.10.00 Patch for error messages when launching View Studio or client after upgrading FTSP to CPR9 SR3
Access Level: Everyone
(FTSP v2.10 = CPR9 SR1)
Follow the instructions carfully especially with respect to prerequisite other patches before applying the patch in the technote.
Another consideration here is the Operating System - users are experiencing varying degrees of sucess and failure when attempting to install and run relatively older Rockwell Software products under the likes of the Windows 10 operating system and also under which architecture - x86 or x64. I seem to vaguely recall advising before on why we could not realistically expect such older products to keep running either smoothly, or at all, under newer OS. And that Rockwell could not realistically continue to release patched versions of quite older software products in an attempt to keep up. Virtualization of supported operating systems is the preferred solution in these cases. That was probably in the Windows 10 Rockwell thread (or similar name?).
I do hope you can manage to resolve this and that it does successfully open and operate for you.
Regards,
George