Finding the Third Proportional to 123,364.50 and 256,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,364.50 : 256,423.50 = 256,423.50 : x
2. Step 2: Convert to fraction form
   123,364.50/256,423.50 = 256,423.50/x
3. Step 3: Cross multiply
   123,364.50x = 256,423.50 × 256,423.50
4. Step 4: Simplify right side
   123,364.50x = 65,753,011,352.25
5. Step 5: Solve for x
   x = 65,753,011,352.25/123,364.50
6. Step 6: Final answer
   x = 532,997.83