At 25°C, ionic product of water (Kw) is 1* 10-14 mol2L-2.
As the temperature increases, dissociation of water also increases. Hence Kw increases.
But at all temperatures, [H+] remains equal to [OH-].
It is given that at 90°C, [H30+]=10-6mole/lite
So [OH-] will be = 10-6mole/lite
And product of concentration of [H+] and [OH-] ions is equal to ionic product of water.
So Kw = [H+] [OH-] = 10-6 * 10-6
Kw = 1*10-12 mol2 L-2
So value of Kw at 90°C is 1*10-12 mol2 L-2.