The molar ionic conductance at infinite dilution for \( \text{NaOH} \), \( \text{NaCl} \), and \( \text{BaCl}_2 \) are \( 248.1 \times 10^{-4} \, \text{S} \, \text{m}^2 \, \text{mol}^{-1} \), \( 126.5 \times 10^{-4} \, \text{S} \, \text{m}^2 \, \text{mol}^{-1} \), and \( 280.0 \times 10^{-4} \, \text{S} \, \text{m}^2 \, \text{mol}^{-1} \), respectively. The \( \Lambda^\circ_m \) for \( \text{Ba(OH)}_2 \) is: