Finding the Third Proportional to 72,204 and 173,944

Step by Step Solution

1. Step 1: Write the proportion equation
   72,204 : 173,944 = 173,944 : x
2. Step 2: Convert to fraction form
   72,204/173,944 = 173,944/x
3. Step 3: Cross multiply
   72,204x = 173,944 × 173,944
4. Step 4: Simplify right side
   72,204x = 30,256,515,136
5. Step 5: Solve for x
   x = 30,256,515,136/72,204
6. Step 6: Final answer
   x = 419,042.09