Finding the Third Proportional to 825,756 and 1,206,768

Step by Step Solution

1. Step 1: Write the proportion equation
   825,756 : 1,206,768 = 1,206,768 : x
2. Step 2: Convert to fraction form
   825,756/1,206,768 = 1,206,768/x
3. Step 3: Cross multiply
   825,756x = 1,206,768 × 1,206,768
4. Step 4: Simplify right side
   825,756x = 1,456,289,005,824
5. Step 5: Solve for x
   x = 1,456,289,005,824/825,756
6. Step 6: Final answer
   x = 1,763,582.71