Finding the Third Proportional to 143.44 and 311.72

Step by Step Solution

1. Step 1: Write the proportion equation
   143.44 : 311.72 = 311.72 : x
2. Step 2: Convert to fraction form
   143.44/311.72 = 311.72/x
3. Step 3: Cross multiply
   143.44x = 311.72 × 311.72
4. Step 4: Simplify right side
   143.44x = 97,168.58
5. Step 5: Solve for x
   x = 97,168.58/143.44
6. Step 6: Final answer
   x = 677.43