Finding the Third Proportional to 499,365 and 782,515.69

Step by Step Solution

1. Step 1: Write the proportion equation
   499,365 : 782,515.69 = 782,515.69 : x
2. Step 2: Convert to fraction form
   499,365/782,515.69 = 782,515.69/x
3. Step 3: Cross multiply
   499,365x = 782,515.69 × 782,515.69
4. Step 4: Simplify right side
   499,365x = 612,330,801,183.60
5. Step 5: Solve for x
   x = 612,330,801,183.60/499,365
6. Step 6: Final answer
   x = 1,226,218.90