Finding the Third Proportional to 649,024 and 1,420,396

Step by Step Solution

1. Step 1: Write the proportion equation
   649,024 : 1,420,396 = 1,420,396 : x
2. Step 2: Convert to fraction form
   649,024/1,420,396 = 1,420,396/x
3. Step 3: Cross multiply
   649,024x = 1,420,396 × 1,420,396
4. Step 4: Simplify right side
   649,024x = 2,017,524,796,816
5. Step 5: Solve for x
   x = 2,017,524,796,816/649,024
6. Step 6: Final answer
   x = 3,108,551.91