Finding the Third Proportional to 400,804 and 621,456

Step by Step Solution

1. Step 1: Write the proportion equation
   400,804 : 621,456 = 621,456 : x
2. Step 2: Convert to fraction form
   400,804/621,456 = 621,456/x
3. Step 3: Cross multiply
   400,804x = 621,456 × 621,456
4. Step 4: Simplify right side
   400,804x = 386,207,559,936
5. Step 5: Solve for x
   x = 386,207,559,936/400,804
6. Step 6: Final answer
   x = 963,582.10