Finding the Third Proportional to 127.69 and 179.16

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 179.16 = 179.16 : x
2. Step 2: Convert to fraction form
   127.69/179.16 = 179.16/x
3. Step 3: Cross multiply
   127.69x = 179.16 × 179.16
4. Step 4: Simplify right side
   127.69x = 32,096.96
5. Step 5: Solve for x
   x = 32,096.96/127.69
6. Step 6: Final answer
   x = 251.37