Finding the Third Proportional to 71,680.50 and 113,856.75

Step by Step Solution

1. Step 1: Write the proportion equation
   71,680.50 : 113,856.75 = 113,856.75 : x
2. Step 2: Convert to fraction form
   71,680.50/113,856.75 = 113,856.75/x
3. Step 3: Cross multiply
   71,680.50x = 113,856.75 × 113,856.75
4. Step 4: Simplify right side
   71,680.50x = 12,963,359,520.56
5. Step 5: Solve for x
   x = 12,963,359,520.56/71,680.50
6. Step 6: Final answer
   x = 180,849.18