Finding the Third Proportional to 825,726 and 1,162,809

Step by Step Solution

1. Step 1: Write the proportion equation
   825,726 : 1,162,809 = 1,162,809 : x
2. Step 2: Convert to fraction form
   825,726/1,162,809 = 1,162,809/x
3. Step 3: Cross multiply
   825,726x = 1,162,809 × 1,162,809
4. Step 4: Simplify right side
   825,726x = 1,352,124,770,481
5. Step 5: Solve for x
   x = 1,352,124,770,481/825,726
6. Step 6: Final answer
   x = 1,637,498.12