Finding the Third Proportional to 59.86 and 129.27

Step by Step Solution

1. Step 1: Write the proportion equation
   59.86 : 129.27 = 129.27 : x
2. Step 2: Convert to fraction form
   59.86/129.27 = 129.27/x
3. Step 3: Cross multiply
   59.86x = 129.27 × 129.27
4. Step 4: Simplify right side
   59.86x = 16,711.18
5. Step 5: Solve for x
   x = 16,711.18/59.86
6. Step 6: Final answer
   x = 279.17