Finding the Third Proportional to 402,361.50 and 837,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,361.50 : 837,766.50 = 837,766.50 : x
2. Step 2: Convert to fraction form
   402,361.50/837,766.50 = 837,766.50/x
3. Step 3: Cross multiply
   402,361.50x = 837,766.50 × 837,766.50
4. Step 4: Simplify right side
   402,361.50x = 701,852,708,522.25
5. Step 5: Solve for x
   x = 701,852,708,522.25/402,361.50
6. Step 6: Final answer
   x = 1,744,333.66