Finding the Third Proportional to 123,357.75 and 256,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,357.75 : 256,411.50 = 256,411.50 : x
2. Step 2: Convert to fraction form
   123,357.75/256,411.50 = 256,411.50/x
3. Step 3: Cross multiply
   123,357.75x = 256,411.50 × 256,411.50
4. Step 4: Simplify right side
   123,357.75x = 65,746,857,332.25
5. Step 5: Solve for x
   x = 65,746,857,332.25/123,357.75
6. Step 6: Final answer
   x = 532,977.11