Finding the Third Proportional to 320,612 and 498,419

Step by Step Solution

1. Step 1: Write the proportion equation
   320,612 : 498,419 = 498,419 : x
2. Step 2: Convert to fraction form
   320,612/498,419 = 498,419/x
3. Step 3: Cross multiply
   320,612x = 498,419 × 498,419
4. Step 4: Simplify right side
   320,612x = 248,421,499,561
5. Step 5: Solve for x
   x = 248,421,499,561/320,612
6. Step 6: Final answer
   x = 774,835.31