Finding the Third Proportional to 109,072 and 173,976

Step by Step Solution

1. Step 1: Write the proportion equation
   109,072 : 173,976 = 173,976 : x
2. Step 2: Convert to fraction form
   109,072/173,976 = 173,976/x
3. Step 3: Cross multiply
   109,072x = 173,976 × 173,976
4. Step 4: Simplify right side
   109,072x = 30,267,648,576
5. Step 5: Solve for x
   x = 30,267,648,576/109,072
6. Step 6: Final answer
   x = 277,501.55