Finding the Third Proportional to 82,507.50 and 123,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,507.50 : 123,943.50 = 123,943.50 : x
2. Step 2: Convert to fraction form
   82,507.50/123,943.50 = 123,943.50/x
3. Step 3: Cross multiply
   82,507.50x = 123,943.50 × 123,943.50
4. Step 4: Simplify right side
   82,507.50x = 15,361,991,192.25
5. Step 5: Solve for x
   x = 15,361,991,192.25/82,507.50
6. Step 6: Final answer
   x = 186,189.03