Finding the Third Proportional to 52.31 and 116.06

Step by Step Solution

1. Step 1: Write the proportion equation
   52.31 : 116.06 = 116.06 : x
2. Step 2: Convert to fraction form
   52.31/116.06 = 116.06/x
3. Step 3: Cross multiply
   52.31x = 116.06 × 116.06
4. Step 4: Simplify right side
   52.31x = 13,470.50
5. Step 5: Solve for x
   x = 13,470.50/52.31
6. Step 6: Final answer
   x = 257.50