Finding the Third Proportional to 123.38 and 271.88

Step by Step Solution

1. Step 1: Write the proportion equation
   123.38 : 271.88 = 271.88 : x
2. Step 2: Convert to fraction form
   123.38/271.88 = 271.88/x
3. Step 3: Cross multiply
   123.38x = 271.88 × 271.88
4. Step 4: Simplify right side
   123.38x = 73,916.02
5. Step 5: Solve for x
   x = 73,916.02/123.38
6. Step 6: Final answer
   x = 599.12