Finding the Third Proportional to 825,628 and 1,162,664

Step by Step Solution

1. Step 1: Write the proportion equation
   825,628 : 1,162,664 = 1,162,664 : x
2. Step 2: Convert to fraction form
   825,628/1,162,664 = 1,162,664/x
3. Step 3: Cross multiply
   825,628x = 1,162,664 × 1,162,664
4. Step 4: Simplify right side
   825,628x = 1,351,787,576,896
5. Step 5: Solve for x
   x = 1,351,787,576,896/825,628
6. Step 6: Final answer
   x = 1,637,284.08