Finding the Third Proportional to 402,309 and 607,563

Step by Step Solution

1. Step 1: Write the proportion equation
   402,309 : 607,563 = 607,563 : x
2. Step 2: Convert to fraction form
   402,309/607,563 = 607,563/x
3. Step 3: Cross multiply
   402,309x = 607,563 × 607,563
4. Step 4: Simplify right side
   402,309x = 369,132,798,969
5. Step 5: Solve for x
   x = 369,132,798,969/402,309
6. Step 6: Final answer
   x = 917,535.52