Finding the Third Proportional to 396,605 and 826,042

Step by Step Solution

1. Step 1: Write the proportion equation
   396,605 : 826,042 = 826,042 : x
2. Step 2: Convert to fraction form
   396,605/826,042 = 826,042/x
3. Step 3: Cross multiply
   396,605x = 826,042 × 826,042
4. Step 4: Simplify right side
   396,605x = 682,345,385,764
5. Step 5: Solve for x
   x = 682,345,385,764/396,605
6. Step 6: Final answer
   x = 1,720,465.92