Finding the Third Proportional to 71,677.50 and 113,872.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71,677.50 : 113,872.25 = 113,872.25 : x
2. Step 2: Convert to fraction form
   71,677.50/113,872.25 = 113,872.25/x
3. Step 3: Cross multiply
   71,677.50x = 113,872.25 × 113,872.25
4. Step 4: Simplify right side
   71,677.50x = 12,966,889,320.06
5. Step 5: Solve for x
   x = 12,966,889,320.06/71,677.50
6. Step 6: Final answer
   x = 180,905.99