Finding the Third Proportional to 94,142 and 206,944

Step by Step Solution

1. Step 1: Write the proportion equation
   94,142 : 206,944 = 206,944 : x
2. Step 2: Convert to fraction form
   94,142/206,944 = 206,944/x
3. Step 3: Cross multiply
   94,142x = 206,944 × 206,944
4. Step 4: Simplify right side
   94,142x = 42,825,819,136
5. Step 5: Solve for x
   x = 42,825,819,136/94,142
6. Step 6: Final answer
   x = 454,906.62