Finding the Third Proportional to 71,685 and 113,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,685 : 113,863.50 = 113,863.50 : x
2. Step 2: Convert to fraction form
   71,685/113,863.50 = 113,863.50/x
3. Step 3: Cross multiply
   71,685x = 113,863.50 × 113,863.50
4. Step 4: Simplify right side
   71,685x = 12,964,896,632.25
5. Step 5: Solve for x
   x = 12,964,896,632.25/71,685
6. Step 6: Final answer
   x = 180,859.27