Finding the Third Proportional to 59.80 and 129.57

Step by Step Solution

1. Step 1: Write the proportion equation
   59.80 : 129.57 = 129.57 : x
2. Step 2: Convert to fraction form
   59.80/129.57 = 129.57/x
3. Step 3: Cross multiply
   59.80x = 129.57 × 129.57
4. Step 4: Simplify right side
   59.80x = 16,787.96
5. Step 5: Solve for x
   x = 16,787.96/59.80
6. Step 6: Final answer
   x = 280.73