Finding the Third Proportional to 402,279 and 596,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,279 : 596,454.50 = 596,454.50 : x
2. Step 2: Convert to fraction form
   402,279/596,454.50 = 596,454.50/x
3. Step 3: Cross multiply
   402,279x = 596,454.50 × 596,454.50
4. Step 4: Simplify right side
   402,279x = 355,757,970,570.25
5. Step 5: Solve for x
   x = 355,757,970,570.25/402,279
6. Step 6: Final answer
   x = 884,356.31