Finding the Third Proportional to 71.72 and 155.67

Step by Step Solution

1. Step 1: Write the proportion equation
   71.72 : 155.67 = 155.67 : x
2. Step 2: Convert to fraction form
   71.72/155.67 = 155.67/x
3. Step 3: Cross multiply
   71.72x = 155.67 × 155.67
4. Step 4: Simplify right side
   71.72x = 24,233.73
5. Step 5: Solve for x
   x = 24,233.73/71.72
6. Step 6: Final answer
   x = 337.90