Finding the Third Proportional to 72,197 and 173,929

Step by Step Solution

1. Step 1: Write the proportion equation
   72,197 : 173,929 = 173,929 : x
2. Step 2: Convert to fraction form
   72,197/173,929 = 173,929/x
3. Step 3: Cross multiply
   72,197x = 173,929 × 173,929
4. Step 4: Simplify right side
   72,197x = 30,251,297,041
5. Step 5: Solve for x
   x = 30,251,297,041/72,197
6. Step 6: Final answer
   x = 419,010.44