Finding the Third Proportional to 200,292 and 406,116

Step by Step Solution

1. Step 1: Write the proportion equation
   200,292 : 406,116 = 406,116 : x
2. Step 2: Convert to fraction form
   200,292/406,116 = 406,116/x
3. Step 3: Cross multiply
   200,292x = 406,116 × 406,116
4. Step 4: Simplify right side
   200,292x = 164,930,205,456
5. Step 5: Solve for x
   x = 164,930,205,456/200,292
6. Step 6: Final answer
   x = 823,448.79