Finding the Third Proportional to 406,212 and 632,456

Step by Step Solution

1. Step 1: Write the proportion equation
   406,212 : 632,456 = 632,456 : x
2. Step 2: Convert to fraction form
   406,212/632,456 = 632,456/x
3. Step 3: Cross multiply
   406,212x = 632,456 × 632,456
4. Step 4: Simplify right side
   406,212x = 400,000,591,936
5. Step 5: Solve for x
   x = 400,000,591,936/406,212
6. Step 6: Final answer
   x = 984,708.95