Finding the Third Proportional to 54.11 and 116.20

Step by Step Solution

1. Step 1: Write the proportion equation
   54.11 : 116.20 = 116.20 : x
2. Step 2: Convert to fraction form
   54.11/116.20 = 116.20/x
3. Step 3: Cross multiply
   54.11x = 116.20 × 116.20
4. Step 4: Simplify right side
   54.11x = 13,502.49
5. Step 5: Solve for x
   x = 13,502.49/54.11
6. Step 6: Final answer
   x = 249.56