Finding the Third Proportional to 402,274 and 596,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,274 : 596,452.50 = 596,452.50 : x
2. Step 2: Convert to fraction form
   402,274/596,452.50 = 596,452.50/x
3. Step 3: Cross multiply
   402,274x = 596,452.50 × 596,452.50
4. Step 4: Simplify right side
   402,274x = 355,755,584,756.25
5. Step 5: Solve for x
   x = 355,755,584,756.25/402,274
6. Step 6: Final answer
   x = 884,361.37