Regardless, I certainly would not encourage you or anyone else to leave a job they love if it pays them an amount they are happy with. Going to Google or anyone else for a 20% pay bump is a bad deal if you end up less happy overall.
To put it in perspective, I earned a base salary in the very high $100K's when working for a large education company in Boston, having only 3.5 years of experience at the time.
The cost of living in New York is something like 30% higher than Boston, so before I would even consider any job in New York at all, even just to keep my wage at the same level relative to cost of living, you're talking about a salary certainly above $200k. Sure, places are free to dupe youngsters who just think it's cool to live in NY and are happy to take a discounted salary in order to get that personally-valued benefit. But a lot of thoughtful people who would make great employees for you won't do that -- won't even consider your job at all or do any of the hiring process unless they know it at minimum offers them a pay level that keeps their quality of life consistent. Otherwise they'll just stay where they are, or they'll work in some different geographic area where the pay isn't so distorted from the true cost of living as in New York.
I do love all the work that Stack Exchange does to keep using fully private offices though. Despite disagreeing with the salary levels, I would still say Stack Exchange is one of the best organizations around purely because it's like the last bastion of hope that we might move away from the demonstrably unhealthy dystopia of open-plan office madness, and further because they're in Manhattan, they help eliminate the demonstrably incorrect claim that a lot of places make, which is the excuse that they need open-plan offices because of real estate costs.
Your figures are about $15k higher than what these sources report, which I think is close enough.
[1] https://www.glassdoor.com/Salary/Google-Software-Engineer-Sa...