Finding the Third Proportional to 271.63 and 408.72

Step by Step Solution

1. Step 1: Write the proportion equation
   271.63 : 408.72 = 408.72 : x
2. Step 2: Convert to fraction form
   271.63/408.72 = 408.72/x
3. Step 3: Cross multiply
   271.63x = 408.72 × 408.72
4. Step 4: Simplify right side
   271.63x = 167,050.22
5. Step 5: Solve for x
   x = 167,050.22/271.63
6. Step 6: Final answer
   x = 614.98