Finding the Third Proportional to 825,717 and 1,162,797

Step by Step Solution

1. Step 1: Write the proportion equation
   825,717 : 1,162,797 = 1,162,797 : x
2. Step 2: Convert to fraction form
   825,717/1,162,797 = 1,162,797/x
3. Step 3: Cross multiply
   825,717x = 1,162,797 × 1,162,797
4. Step 4: Simplify right side
   825,717x = 1,352,096,863,209
5. Step 5: Solve for x
   x = 1,352,096,863,209/825,717
6. Step 6: Final answer
   x = 1,637,482.17