Finding the Third Proportional to 394,458 and 864,004

Step by Step Solution

1. Step 1: Write the proportion equation
   394,458 : 864,004 = 864,004 : x
2. Step 2: Convert to fraction form
   394,458/864,004 = 864,004/x
3. Step 3: Cross multiply
   394,458x = 864,004 × 864,004
4. Step 4: Simplify right side
   394,458x = 746,502,912,016
5. Step 5: Solve for x
   x = 746,502,912,016/394,458
6. Step 6: Final answer
   x = 1,892,477.56