Finding the Third Proportional to 825,769 and 1,206,796

Step by Step Solution

1. Step 1: Write the proportion equation
   825,769 : 1,206,796 = 1,206,796 : x
2. Step 2: Convert to fraction form
   825,769/1,206,796 = 1,206,796/x
3. Step 3: Cross multiply
   825,769x = 1,206,796 × 1,206,796
4. Step 4: Simplify right side
   825,769x = 1,456,356,585,616
5. Step 5: Solve for x
   x = 1,456,356,585,616/825,769
6. Step 6: Final answer
   x = 1,763,636.79