Finding the Third Proportional to 408,619 and 897,834

Step by Step Solution

1. Step 1: Write the proportion equation
   408,619 : 897,834 = 897,834 : x
2. Step 2: Convert to fraction form
   408,619/897,834 = 897,834/x
3. Step 3: Cross multiply
   408,619x = 897,834 × 897,834
4. Step 4: Simplify right side
   408,619x = 806,105,891,556
5. Step 5: Solve for x
   x = 806,105,891,556/408,619
6. Step 6: Final answer
   x = 1,972,756.75