Finding the Third Proportional to 76,089.50 and 109,599

Step by Step Solution

1. Step 1: Write the proportion equation
   76,089.50 : 109,599 = 109,599 : x
2. Step 2: Convert to fraction form
   76,089.50/109,599 = 109,599/x
3. Step 3: Cross multiply
   76,089.50x = 109,599 × 109,599
4. Step 4: Simplify right side
   76,089.50x = 12,011,940,801
5. Step 5: Solve for x
   x = 12,011,940,801/76,089.50
6. Step 6: Final answer
   x = 157,865.94