To evaluate the expression \( \frac{1}{2}b + 58 \times 2 \) with \( b = 114 \), we start by substituting the value of \( b \):
- Substitute \( b = 114 \) into the expression:
\[ \frac{1}{2} \times 114 + 58 \times 2 \]
- Calculate \( \frac{1}{2} \times 114 \):
\[ \frac{114}{2} = 57 \]
- Calculate \( 58 \times 2 \):
\[ 58 \times 2 = 116 \]
- Now, add the two results together:
\[ 57 + 116 = 173 \]
Thus, the value of the expression is:
\[ \boxed{173} \]