Finding the Third Proportional to 184.50 and 271.38

Step by Step Solution

1. Step 1: Write the proportion equation
   184.50 : 271.38 = 271.38 : x
2. Step 2: Convert to fraction form
   184.50/271.38 = 271.38/x
3. Step 3: Cross multiply
   184.50x = 271.38 × 271.38
4. Step 4: Simplify right side
   184.50x = 73,644.39
5. Step 5: Solve for x
   x = 73,644.39/184.50
6. Step 6: Final answer
   x = 399.16