Finding the Third Proportional to 402,289 and 596,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,289 : 596,469.50 = 596,469.50 : x
2. Step 2: Convert to fraction form
   402,289/596,469.50 = 596,469.50/x
3. Step 3: Cross multiply
   402,289x = 596,469.50 × 596,469.50
4. Step 4: Simplify right side
   402,289x = 355,775,864,430.25
5. Step 5: Solve for x
   x = 355,775,864,430.25/402,289
6. Step 6: Final answer
   x = 884,378.80