Finding the Third Proportional to 108,880 and 171,096

Step by Step Solution

1. Step 1: Write the proportion equation
   108,880 : 171,096 = 171,096 : x
2. Step 2: Convert to fraction form
   108,880/171,096 = 171,096/x
3. Step 3: Cross multiply
   108,880x = 171,096 × 171,096
4. Step 4: Simplify right side
   108,880x = 29,273,841,216
5. Step 5: Solve for x
   x = 29,273,841,216/108,880
6. Step 6: Final answer
   x = 268,863.35