Finding the Third Proportional to 363,840 and 782,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,840 : 782,401.50 = 782,401.50 : x
2. Step 2: Convert to fraction form
   363,840/782,401.50 = 782,401.50/x
3. Step 3: Cross multiply
   363,840x = 782,401.50 × 782,401.50
4. Step 4: Simplify right side
   363,840x = 612,152,107,202.25
5. Step 5: Solve for x
   x = 612,152,107,202.25/363,840
6. Step 6: Final answer
   x = 1,682,476.11