Finding the Third Proportional to 825,828 and 1,162,902

Step by Step Solution

1. Step 1: Write the proportion equation
   825,828 : 1,162,902 = 1,162,902 : x
2. Step 2: Convert to fraction form
   825,828/1,162,902 = 1,162,902/x
3. Step 3: Cross multiply
   825,828x = 1,162,902 × 1,162,902
4. Step 4: Simplify right side
   825,828x = 1,352,341,061,604
5. Step 5: Solve for x
   x = 1,352,341,061,604/825,828
6. Step 6: Final answer
   x = 1,637,557.77