Finding the Third Proportional to 825,628 and 1,162,665

Step by Step Solution

1. Step 1: Write the proportion equation
   825,628 : 1,162,665 = 1,162,665 : x
2. Step 2: Convert to fraction form
   825,628/1,162,665 = 1,162,665/x
3. Step 3: Cross multiply
   825,628x = 1,162,665 × 1,162,665
4. Step 4: Simplify right side
   825,628x = 1,351,789,902,225
5. Step 5: Solve for x
   x = 1,351,789,902,225/825,628
6. Step 6: Final answer
   x = 1,637,286.89