Finding the Third Proportional to 256,854 and 402,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,854 : 402,913.50 = 402,913.50 : x
2. Step 2: Convert to fraction form
   256,854/402,913.50 = 402,913.50/x
3. Step 3: Cross multiply
   256,854x = 402,913.50 × 402,913.50
4. Step 4: Simplify right side
   256,854x = 162,339,288,482.25
5. Step 5: Solve for x
   x = 162,339,288,482.25/256,854
6. Step 6: Final answer
   x = 632,029.43