Finding the Third Proportional to 819,828 and 1,781,496

Step by Step Solution

1. Step 1: Write the proportion equation
   819,828 : 1,781,496 = 1,781,496 : x
2. Step 2: Convert to fraction form
   819,828/1,781,496 = 1,781,496/x
3. Step 3: Cross multiply
   819,828x = 1,781,496 × 1,781,496
4. Step 4: Simplify right side
   819,828x = 3,173,727,998,016
5. Step 5: Solve for x
   x = 3,173,727,998,016/819,828
6. Step 6: Final answer
   x = 3,871,212.01