Finding the Third Proportional to 383,909.88 and 826,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,909.88 : 826,686.50 = 826,686.50 : x
2. Step 2: Convert to fraction form
   383,909.88/826,686.50 = 826,686.50/x
3. Step 3: Cross multiply
   383,909.88x = 826,686.50 × 826,686.50
4. Step 4: Simplify right side
   383,909.88x = 683,410,569,282.25
5. Step 5: Solve for x
   x = 683,410,569,282.25/383,909.88
6. Step 6: Final answer
   x = 1,780,132.82