Sulphide ion in alkaline solution reacts with solid sulphur to form polysulpbide ions having formulae ${\mathrm{S}}_2^{2-},{\mathrm{S}}_3^{2-},{\mathrm{S}}_4^{2-}$ and so on. The equilibrium constant for the formation of ${\mathrm{S}}_2^{2-}$ is $12\left(K_1\right)$ and for the formation of ${\mathrm{S}}_3^{2-}$ is $132\left(K_2\right)$, both from S and ${\mathrm{S}}^{2-}$ What is the equilibrium constant for the formation of ${\mathrm{S}}_3^{2-}$ from ${\mathrm{S}}_2^{2-}$ and S?