Finding the Third Proportional to 199,613 and 408,540

Step by Step Solution

1. Step 1: Write the proportion equation
   199,613 : 408,540 = 408,540 : x
2. Step 2: Convert to fraction form
   199,613/408,540 = 408,540/x
3. Step 3: Cross multiply
   199,613x = 408,540 × 408,540
4. Step 4: Simplify right side
   199,613x = 166,904,931,600
5. Step 5: Solve for x
   x = 166,904,931,600/199,613
6. Step 6: Final answer
   x = 836,142.59