Finding the Third Proportional to 71,696 and 113,496

Step by Step Solution

1. Step 1: Write the proportion equation
   71,696 : 113,496 = 113,496 : x
2. Step 2: Convert to fraction form
   71,696/113,496 = 113,496/x
3. Step 3: Cross multiply
   71,696x = 113,496 × 113,496
4. Step 4: Simplify right side
   71,696x = 12,881,342,016
5. Step 5: Solve for x
   x = 12,881,342,016/71,696
6. Step 6: Final answer
   x = 179,666.12