Finding the Third Proportional to 400,907 and 864,016

Step by Step Solution

1. Step 1: Write the proportion equation
   400,907 : 864,016 = 864,016 : x
2. Step 2: Convert to fraction form
   400,907/864,016 = 864,016/x
3. Step 3: Cross multiply
   400,907x = 864,016 × 864,016
4. Step 4: Simplify right side
   400,907x = 746,523,648,256
5. Step 5: Solve for x
   x = 746,523,648,256/400,907
6. Step 6: Final answer
   x = 1,862,086.84