Explanation:
After one \(\alpha\)-emission, the daughter nucleus reduces in mass number by 4 unit and in atomic number by 2 units. In \(\beta\)-emission the atomic number of daughter nucleus increases by 1 unit. The reaction can be written as \(_{92}{U^{238}}\xrightarrow{{ - 8\alpha }}\,{\,_{76}}{X^{206}}\xrightarrow{{ - 6\beta }}\,{\,_{82}}{Y^{206}}\)
Thus, the resulting nucleus is \(_{82}{Y^{206}},\,\,i.e.{\text{ }}\,{\,_{82}}P{b^{206}}.\)