Finding the Third Proportional to 59,976 and 129,178.38

Step by Step Solution

1. Step 1: Write the proportion equation
   59,976 : 129,178.38 = 129,178.38 : x
2. Step 2: Convert to fraction form
   59,976/129,178.38 = 129,178.38/x
3. Step 3: Cross multiply
   59,976x = 129,178.38 × 129,178.38
4. Step 4: Simplify right side
   59,976x = 16,687,052,567.64
5. Step 5: Solve for x
   x = 16,687,052,567.64/59,976
6. Step 6: Final answer
   x = 278,228.83