Finding the Third Proportional to 402,277 and 596,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,277 : 596,451.50 = 596,451.50 : x
2. Step 2: Convert to fraction form
   402,277/596,451.50 = 596,451.50/x
3. Step 3: Cross multiply
   402,277x = 596,451.50 × 596,451.50
4. Step 4: Simplify right side
   402,277x = 355,754,391,852.25
5. Step 5: Solve for x
   x = 355,754,391,852.25/402,277
6. Step 6: Final answer
   x = 884,351.81