Finding the Third Proportional to 108,072 and 173,640

Step by Step Solution

1. Step 1: Write the proportion equation
   108,072 : 173,640 = 173,640 : x
2. Step 2: Convert to fraction form
   108,072/173,640 = 173,640/x
3. Step 3: Cross multiply
   108,072x = 173,640 × 173,640
4. Step 4: Simplify right side
   108,072x = 30,150,849,600
5. Step 5: Solve for x
   x = 30,150,849,600/108,072
6. Step 6: Final answer
   x = 278,988.54