Finding the Third Proportional to 426,820 and 914,496

Step by Step Solution

1. Step 1: Write the proportion equation
   426,820 : 914,496 = 914,496 : x
2. Step 2: Convert to fraction form
   426,820/914,496 = 914,496/x
3. Step 3: Cross multiply
   426,820x = 914,496 × 914,496
4. Step 4: Simplify right side
   426,820x = 836,302,934,016
5. Step 5: Solve for x
   x = 836,302,934,016/426,820
6. Step 6: Final answer
   x = 1,959,380.85