Finding the Third Proportional to 76,147 and 109,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,147 : 109,680.50 = 109,680.50 : x
2. Step 2: Convert to fraction form
   76,147/109,680.50 = 109,680.50/x
3. Step 3: Cross multiply
   76,147x = 109,680.50 × 109,680.50
4. Step 4: Simplify right side
   76,147x = 12,029,812,080.25
5. Step 5: Solve for x
   x = 12,029,812,080.25/76,147
6. Step 6: Final answer
   x = 157,981.43