Finding the Third Proportional to 498,538 and 773,416

Step by Step Solution

1. Step 1: Write the proportion equation
   498,538 : 773,416 = 773,416 : x
2. Step 2: Convert to fraction form
   498,538/773,416 = 773,416/x
3. Step 3: Cross multiply
   498,538x = 773,416 × 773,416
4. Step 4: Simplify right side
   498,538x = 598,172,309,056
5. Step 5: Solve for x
   x = 598,172,309,056/498,538
6. Step 6: Final answer
   x = 1,199,852.99