Finding the Third Proportional to 825,748 and 1,206,760

Step by Step Solution

1. Step 1: Write the proportion equation
   825,748 : 1,206,760 = 1,206,760 : x
2. Step 2: Convert to fraction form
   825,748/1,206,760 = 1,206,760/x
3. Step 3: Cross multiply
   825,748x = 1,206,760 × 1,206,760
4. Step 4: Simplify right side
   825,748x = 1,456,269,697,600
5. Step 5: Solve for x
   x = 1,456,269,697,600/825,748
6. Step 6: Final answer
   x = 1,763,576.42