Finding the Third Proportional to 57,527 and 123,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,527 : 123,249.50 = 123,249.50 : x
2. Step 2: Convert to fraction form
   57,527/123,249.50 = 123,249.50/x
3. Step 3: Cross multiply
   57,527x = 123,249.50 × 123,249.50
4. Step 4: Simplify right side
   57,527x = 15,190,439,250.25
5. Step 5: Solve for x
   x = 15,190,439,250.25/57,527
6. Step 6: Final answer
   x = 264,057.56