The solubility product of a sparingly soluble salt ${\mathrm{A}}_2{\mathrm{X}}_3$ is $1.1\times {10}^{-23}$. If specific conductance of the solution is $3\times {10}^{-5}{\mathrm{Sm}}^{-1}$, the limiting molar conductivity of the solution is $x\times {10}^{-3}{\mathrm{Sm}}^2{\mathrm{mol}}^{-1}$. The value of x is ________.