Finding the Third Proportional to 825,736 and 1,162,786

Step by Step Solution

1. Step 1: Write the proportion equation
   825,736 : 1,162,786 = 1,162,786 : x
2. Step 2: Convert to fraction form
   825,736/1,162,786 = 1,162,786/x
3. Step 3: Cross multiply
   825,736x = 1,162,786 × 1,162,786
4. Step 4: Simplify right side
   825,736x = 1,352,071,281,796
5. Step 5: Solve for x
   x = 1,352,071,281,796/825,736
6. Step 6: Final answer
   x = 1,637,413.51