Differential cross sections for the ${0}_{2}^{+}$ state at ${E}_{x}=7.654$ MeV in $^{12}\mathrm{C}$ were measured with the ($p,{p}^{\ensuremath{'}}$) reaction at an incident energy of $E$${}_{p}=300$ MeV, and in an angular range from ${\ensuremath{\theta}}_{\mathrm{Lab}}=2.7$${}^{\ifmmode^\circ\else\textdegree\fi{}}$ to ${40}^{\ifmmode^\circ\else\textdegree\fi{}}$. The cross-section data were compared with the distorted-wave Born-approximation calculations employing three types of transition densities obtained in a macroscopic collective model, a microscopic $\ensuremath{\alpha}$-cluster model, and a microscopic $\ensuremath{\alpha}$-cluster condensation model. It is concluded that the measured angular distribution of the differential cross sections for the $^{12}\mathrm{C}$($p,{p}^{\ensuremath{'}}$) reaction at 300 MeV is consistently described with the assumption that the ${0}_{2}^{+}$ state at ${E}_{x}=7.654$ MeV is the dilute $\ensuremath{\alpha}$-cluster condensed state.