Finding the Third Proportional to 123.47 and 271.79

Step by Step Solution

1. Step 1: Write the proportion equation
   123.47 : 271.79 = 271.79 : x
2. Step 2: Convert to fraction form
   123.47/271.79 = 271.79/x
3. Step 3: Cross multiply
   123.47x = 271.79 × 271.79
4. Step 4: Simplify right side
   123.47x = 73,871.42
5. Step 5: Solve for x
   x = 73,871.42/123.47
6. Step 6: Final answer
   x = 598.30