Finding the Third Proportional to 71,428 and 113,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,428 : 113,006.50 = 113,006.50 : x
2. Step 2: Convert to fraction form
   71,428/113,006.50 = 113,006.50/x
3. Step 3: Cross multiply
   71,428x = 113,006.50 × 113,006.50
4. Step 4: Simplify right side
   71,428x = 12,770,469,042.25
5. Step 5: Solve for x
   x = 12,770,469,042.25/71,428
6. Step 6: Final answer
   x = 178,788.00