What is the value of 'x' in x : 92 :: 87 : 116?

Given, 

x : 92 :: 87 : 116

We know that the product of extremes = the product of means.

So, $116\mathrm{x}=92\times 87$

$\Rightarrow \mathrm{x}=\frac{8004}{116}$

$\Rightarrow \mathrm{x}=69$

So, the value of 'x' is 69.