Finding the Third Proportional to 109,280 and 167,096

Step by Step Solution

1. Step 1: Write the proportion equation
   109,280 : 167,096 = 167,096 : x
2. Step 2: Convert to fraction form
   109,280/167,096 = 167,096/x
3. Step 3: Cross multiply
   109,280x = 167,096 × 167,096
4. Step 4: Simplify right side
   109,280x = 27,921,073,216
5. Step 5: Solve for x
   x = 27,921,073,216/109,280
6. Step 6: Final answer
   x = 255,500.30