Finding the Third Proportional to 59,049 and 88,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,049 : 88,411.50 = 88,411.50 : x
2. Step 2: Convert to fraction form
   59,049/88,411.50 = 88,411.50/x
3. Step 3: Cross multiply
   59,049x = 88,411.50 × 88,411.50
4. Step 4: Simplify right side
   59,049x = 7,816,593,332.25
5. Step 5: Solve for x
   x = 7,816,593,332.25/59,049
6. Step 6: Final answer
   x = 132,374.69