Experimental proof that gravity ~ 1/R^2 ?

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What is the experimental proof of Newton's law of universal gravitation? Specifically, how has it been established that the gravitational force between two masses varies inversely as square of the distance between them ( as opposed to, say, as 1/R^(2+x) where x is small |x|<<1 )?

NSEFF	Experimental proof that gravity ~ 1/R^2 ? Tweet What is the experimental proof of Newton's law of universal gravitation? Specifically, how has it been established that the gravitational force between two masses varies inversely as square of the distance between them ( as opposed to, say, as 1/R^(2+x) where x is small \|x\|<<1 )?