Finding the Third Proportional to 271.78 and 433.27

Step by Step Solution

1. Step 1: Write the proportion equation
   271.78 : 433.27 = 433.27 : x
2. Step 2: Convert to fraction form
   271.78/433.27 = 433.27/x
3. Step 3: Cross multiply
   271.78x = 433.27 × 433.27
4. Step 4: Simplify right side
   271.78x = 187,719.10
5. Step 5: Solve for x
   x = 187,719.10/271.78
6. Step 6: Final answer
   x = 690.70