Finding the Third Proportional to 179.81 and 271.31

Step by Step Solution

1. Step 1: Write the proportion equation
   179.81 : 271.31 = 271.31 : x
2. Step 2: Convert to fraction form
   179.81/271.31 = 271.31/x
3. Step 3: Cross multiply
   179.81x = 271.31 × 271.31
4. Step 4: Simplify right side
   179.81x = 73,610.47
5. Step 5: Solve for x
   x = 73,610.47/179.81
6. Step 6: Final answer
   x = 409.37