Finding the Third Proportional to 400,128 and 667,008

Step by Step Solution

1. Step 1: Write the proportion equation
   400,128 : 667,008 = 667,008 : x
2. Step 2: Convert to fraction form
   400,128/667,008 = 667,008/x
3. Step 3: Cross multiply
   400,128x = 667,008 × 667,008
4. Step 4: Simplify right side
   400,128x = 444,899,672,064
5. Step 5: Solve for x
   x = 444,899,672,064/400,128
6. Step 6: Final answer
   x = 1,111,893.37