Finding the Third Proportional to 825,733 and 1,162,782

Step by Step Solution

1. Step 1: Write the proportion equation
   825,733 : 1,162,782 = 1,162,782 : x
2. Step 2: Convert to fraction form
   825,733/1,162,782 = 1,162,782/x
3. Step 3: Cross multiply
   825,733x = 1,162,782 × 1,162,782
4. Step 4: Simplify right side
   825,733x = 1,352,061,979,524
5. Step 5: Solve for x
   x = 1,352,061,979,524/825,733
6. Step 6: Final answer
   x = 1,637,408.19