Finding the Third Proportional to 825,732 and 1,162,780

Step by Step Solution

1. Step 1: Write the proportion equation
   825,732 : 1,162,780 = 1,162,780 : x
2. Step 2: Convert to fraction form
   825,732/1,162,780 = 1,162,780/x
3. Step 3: Cross multiply
   825,732x = 1,162,780 × 1,162,780
4. Step 4: Simplify right side
   825,732x = 1,352,057,328,400
5. Step 5: Solve for x
   x = 1,352,057,328,400/825,732
6. Step 6: Final answer
   x = 1,637,404.54