Finding the Third Proportional to 53,527.50 and 123,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,527.50 : 123,943.50 = 123,943.50 : x
2. Step 2: Convert to fraction form
   53,527.50/123,943.50 = 123,943.50/x
3. Step 3: Cross multiply
   53,527.50x = 123,943.50 × 123,943.50
4. Step 4: Simplify right side
   53,527.50x = 15,361,991,192.25
5. Step 5: Solve for x
   x = 15,361,991,192.25/53,527.50
6. Step 6: Final answer
   x = 286,992.50