Finding the Third Proportional to 402,277.50 and 596,454

Step by Step Solution

1. Step 1: Write the proportion equation
   402,277.50 : 596,454 = 596,454 : x
2. Step 2: Convert to fraction form
   402,277.50/596,454 = 596,454/x
3. Step 3: Cross multiply
   402,277.50x = 596,454 × 596,454
4. Step 4: Simplify right side
   402,277.50x = 355,757,374,116
5. Step 5: Solve for x
   x = 355,757,374,116/402,277.50
6. Step 6: Final answer
   x = 884,358.12