Finding the Third Proportional to 72,198 and 173,934

Step by Step Solution

1. Step 1: Write the proportion equation
   72,198 : 173,934 = 173,934 : x
2. Step 2: Convert to fraction form
   72,198/173,934 = 173,934/x
3. Step 3: Cross multiply
   72,198x = 173,934 × 173,934
4. Step 4: Simplify right side
   72,198x = 30,253,036,356
5. Step 5: Solve for x
   x = 30,253,036,356/72,198
6. Step 6: Final answer
   x = 419,028.73