Finding the Third Proportional to 200,305 and 406,142

Step by Step Solution

1. Step 1: Write the proportion equation
   200,305 : 406,142 = 406,142 : x
2. Step 2: Convert to fraction form
   200,305/406,142 = 406,142/x
3. Step 3: Cross multiply
   200,305x = 406,142 × 406,142
4. Step 4: Simplify right side
   200,305x = 164,951,324,164
5. Step 5: Solve for x
   x = 164,951,324,164/200,305
6. Step 6: Final answer
   x = 823,500.78