This is one problem that made me wonder all around the internet world for almost 4 days, and I really could not find any solution other than hardware resetting or rooting the phone, which I ofcourse did not wanted to do, as I did not wanted to risk my phone into all this, as I love my android so much.
So, finally I found the solution that is so easy and so safe that you would definitely give a million thanks to me.
Lets take a quick review on what the problem is:
Android Phones: Almost all the android phones have this problem, where after adding a primary GMail account, when you try to add another GMail account, it creates problem, says "Connecting to Google Server it may take more than five minutes", and then says "Cannot establish a reliable data connection please contact your operator." As you know its not an operator problem its a software glitch so even contacting to the operators would not help, and contacting Google we got answer that we cannot help on a device specific problem, which is not, as people on different devices face the same problem.
Solution: So finally I found a solution that is very easy and it would not affect your phone at all. Your phone's contact, data, and everything would remain intact, in fact you would not even have to restart your phone forget about hardware resetting or rooting it.
So the solution is
Step1: Go to Youtube Application on your device and launch it.
Step2: Sign-in there not with your youtube ID, but with your google Email, the email that you want to add as an account.
Step3: Once you signin using your GMAIL Google ID. Simply press the back button and get out of youtube to come back to the home page.
Step4: Now go to Settings > Accounts and Sync
Step5: Here you will find your new account added, that is it. Enjoy.
Do leave your feedback if it works for you or if you face any problem, but in any case, leave your feedback for sure.
