The solubility product of sparingly soluble salt $A_2{X}_3$ is $1.1{\text{x10}}^{-23}$ If specific conductance of the solution is ${\text{3x10}}^{-5}S{m}^{-1},$ the limiting molar conductivity of the solution is $x x$ ${10}^{-3}S{m}^{-2}mol{e}^{-1}$ The value of  $x$ is __________