Finding the Third Proportional to 200,267 and 406,060

Step by Step Solution

1. Step 1: Write the proportion equation
   200,267 : 406,060 = 406,060 : x
2. Step 2: Convert to fraction form
   200,267/406,060 = 406,060/x
3. Step 3: Cross multiply
   200,267x = 406,060 × 406,060
4. Step 4: Simplify right side
   200,267x = 164,884,723,600
5. Step 5: Solve for x
   x = 164,884,723,600/200,267
6. Step 6: Final answer
   x = 823,324.48