Answer
See answer below.
Work Step by Step
Number of moles of the $B_2O_3$:
$0.422\ g\div 69.62\ g/mol=6.06\ mmol$
From stoichiometry:
$12.12\ mmol$ of B, $0.01212\ mol\times10.81\ g/mol=0.131\ g$
Number of moles of hydrogen:
$(0.148-0.131)\ g\div 1.008\ g/mol=16.86\ mmol$
Ratio: $16.86/12.12=1.40= 7/5$
Empirical formula: $B_5H_7$