Finding the Third Proportional to 400,856 and 616,404

Step by Step Solution

1. Step 1: Write the proportion equation
   400,856 : 616,404 = 616,404 : x
2. Step 2: Convert to fraction form
   400,856/616,404 = 616,404/x
3. Step 3: Cross multiply
   400,856x = 616,404 × 616,404
4. Step 4: Simplify right side
   400,856x = 379,953,891,216
5. Step 5: Solve for x
   x = 379,953,891,216/400,856
6. Step 6: Final answer
   x = 947,856.32