Finding the Third Proportional to 414,996 and 906,456

Step by Step Solution

1. Step 1: Write the proportion equation
   414,996 : 906,456 = 906,456 : x
2. Step 2: Convert to fraction form
   414,996/906,456 = 906,456/x
3. Step 3: Cross multiply
   414,996x = 906,456 × 906,456
4. Step 4: Simplify right side
   414,996x = 821,662,479,936
5. Step 5: Solve for x
   x = 821,662,479,936/414,996
6. Step 6: Final answer
   x = 1,979,928.67