Finding the Third Proportional to 419,820 and 905,976

Step by Step Solution

1. Step 1: Write the proportion equation
   419,820 : 905,976 = 905,976 : x
2. Step 2: Convert to fraction form
   419,820/905,976 = 905,976/x
3. Step 3: Cross multiply
   419,820x = 905,976 × 905,976
4. Step 4: Simplify right side
   419,820x = 820,792,512,576
5. Step 5: Solve for x
   x = 820,792,512,576/419,820
6. Step 6: Final answer
   x = 1,955,105.79