Finding the Third Proportional to 825,771 and 1,206,792

Step by Step Solution

1. Step 1: Write the proportion equation
   825,771 : 1,206,792 = 1,206,792 : x
2. Step 2: Convert to fraction form
   825,771/1,206,792 = 1,206,792/x
3. Step 3: Cross multiply
   825,771x = 1,206,792 × 1,206,792
4. Step 4: Simplify right side
   825,771x = 1,456,346,931,264
5. Step 5: Solve for x
   x = 1,456,346,931,264/825,771
6. Step 6: Final answer
   x = 1,763,620.82