Finding the Third Proportional to 825,618 and 1,162,651

Step by Step Solution

1. Step 1: Write the proportion equation
   825,618 : 1,162,651 = 1,162,651 : x
2. Step 2: Convert to fraction form
   825,618/1,162,651 = 1,162,651/x
3. Step 3: Cross multiply
   825,618x = 1,162,651 × 1,162,651
4. Step 4: Simplify right side
   825,618x = 1,351,757,347,801
5. Step 5: Solve for x
   x = 1,351,757,347,801/825,618
6. Step 6: Final answer
   x = 1,637,267.29