Finding the Third Proportional to 71,696.25 and 113,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71,696.25 : 113,906.25 = 113,906.25 : x
2. Step 2: Convert to fraction form
   71,696.25/113,906.25 = 113,906.25/x
3. Step 3: Cross multiply
   71,696.25x = 113,906.25 × 113,906.25
4. Step 4: Simplify right side
   71,696.25x = 12,974,633,789.06
5. Step 5: Solve for x
   x = 12,974,633,789.06/71,696.25
6. Step 6: Final answer
   x = 180,966.70