Finding the Third Proportional to 81,839.50 and 123,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,839.50 : 123,063.50 = 123,063.50 : x
2. Step 2: Convert to fraction form
   81,839.50/123,063.50 = 123,063.50/x
3. Step 3: Cross multiply
   81,839.50x = 123,063.50 × 123,063.50
4. Step 4: Simplify right side
   81,839.50x = 15,144,625,032.25
5. Step 5: Solve for x
   x = 15,144,625,032.25/81,839.50
6. Step 6: Final answer
   x = 185,052.76