Finding the Third Proportional to 411,496 and 897,824

Step by Step Solution

1. Step 1: Write the proportion equation
   411,496 : 897,824 = 897,824 : x
2. Step 2: Convert to fraction form
   411,496/897,824 = 897,824/x
3. Step 3: Cross multiply
   411,496x = 897,824 × 897,824
4. Step 4: Simplify right side
   411,496x = 806,087,934,976
5. Step 5: Solve for x
   x = 806,087,934,976/411,496
6. Step 6: Final answer
   x = 1,958,920.46