Finding the Third Proportional to 123,833.25 and 271,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,833.25 : 271,399.50 = 271,399.50 : x
2. Step 2: Convert to fraction form
   123,833.25/271,399.50 = 271,399.50/x
3. Step 3: Cross multiply
   123,833.25x = 271,399.50 × 271,399.50
4. Step 4: Simplify right side
   123,833.25x = 73,657,688,600.25
5. Step 5: Solve for x
   x = 73,657,688,600.25/123,833.25
6. Step 6: Final answer
   x = 594,813.50