Finding the Third Proportional to 414,456 and 906,648

Step by Step Solution

1. Step 1: Write the proportion equation
   414,456 : 906,648 = 906,648 : x
2. Step 2: Convert to fraction form
   414,456/906,648 = 906,648/x
3. Step 3: Cross multiply
   414,456x = 906,648 × 906,648
4. Step 4: Simplify right side
   414,456x = 822,010,595,904
5. Step 5: Solve for x
   x = 822,010,595,904/414,456
6. Step 6: Final answer
   x = 1,983,348.28