Finding the Third Proportional to 825,760 and 1,206,774

Step by Step Solution

1. Step 1: Write the proportion equation
   825,760 : 1,206,774 = 1,206,774 : x
2. Step 2: Convert to fraction form
   825,760/1,206,774 = 1,206,774/x
3. Step 3: Cross multiply
   825,760x = 1,206,774 × 1,206,774
4. Step 4: Simplify right side
   825,760x = 1,456,303,487,076
5. Step 5: Solve for x
   x = 1,456,303,487,076/825,760
6. Step 6: Final answer
   x = 1,763,591.71