Finding the Third Proportional to 111,972 and 173,628

Step by Step Solution

1. Step 1: Write the proportion equation
   111,972 : 173,628 = 173,628 : x
2. Step 2: Convert to fraction form
   111,972/173,628 = 173,628/x
3. Step 3: Cross multiply
   111,972x = 173,628 × 173,628
4. Step 4: Simplify right side
   111,972x = 30,146,682,384
5. Step 5: Solve for x
   x = 30,146,682,384/111,972
6. Step 6: Final answer
   x = 269,234.12