Finding the Third Proportional to 386,413 and 826,004

Step by Step Solution

1. Step 1: Write the proportion equation
   386,413 : 826,004 = 826,004 : x
2. Step 2: Convert to fraction form
   386,413/826,004 = 826,004/x
3. Step 3: Cross multiply
   386,413x = 826,004 × 826,004
4. Step 4: Simplify right side
   386,413x = 682,282,608,016
5. Step 5: Solve for x
   x = 682,282,608,016/386,413
6. Step 6: Final answer
   x = 1,765,682.33