Finding the Third Proportional to 81,934.50 and 117,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,934.50 : 117,597.50 = 117,597.50 : x
2. Step 2: Convert to fraction form
   81,934.50/117,597.50 = 117,597.50/x
3. Step 3: Cross multiply
   81,934.50x = 117,597.50 × 117,597.50
4. Step 4: Simplify right side
   81,934.50x = 13,829,172,006.25
5. Step 5: Solve for x
   x = 13,829,172,006.25/81,934.50
6. Step 6: Final answer
   x = 168,783.26