Finding the Third Proportional to 179.86 and 271.69

Step by Step Solution

1. Step 1: Write the proportion equation
   179.86 : 271.69 = 271.69 : x
2. Step 2: Convert to fraction form
   179.86/271.69 = 271.69/x
3. Step 3: Cross multiply
   179.86x = 271.69 × 271.69
4. Step 4: Simplify right side
   179.86x = 73,814.10
5. Step 5: Solve for x
   x = 73,814.10/179.86
6. Step 6: Final answer
   x = 410.40