Finding the Third Proportional to 402,262 and 596,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,262 : 596,434.50 = 596,434.50 : x
2. Step 2: Convert to fraction form
   402,262/596,434.50 = 596,434.50/x
3. Step 3: Cross multiply
   402,262x = 596,434.50 × 596,434.50
4. Step 4: Simplify right side
   402,262x = 355,734,112,790.25
5. Step 5: Solve for x
   x = 355,734,112,790.25/402,262
6. Step 6: Final answer
   x = 884,334.37