Finding the Third Proportional to 694,122 and 1,407,564

Step by Step Solution

1. Step 1: Write the proportion equation
   694,122 : 1,407,564 = 1,407,564 : x
2. Step 2: Convert to fraction form
   694,122/1,407,564 = 1,407,564/x
3. Step 3: Cross multiply
   694,122x = 1,407,564 × 1,407,564
4. Step 4: Simplify right side
   694,122x = 1,981,236,414,096
5. Step 5: Solve for x
   x = 1,981,236,414,096/694,122
6. Step 6: Final answer
   x = 2,854,305.75