Finding the Third Proportional to 271.69 and 384.47

Step by Step Solution

1. Step 1: Write the proportion equation
   271.69 : 384.47 = 384.47 : x
2. Step 2: Convert to fraction form
   271.69/384.47 = 384.47/x
3. Step 3: Cross multiply
   271.69x = 384.47 × 384.47
4. Step 4: Simplify right side
   271.69x = 147,816.22
5. Step 5: Solve for x
   x = 147,816.22/271.69
6. Step 6: Final answer
   x = 544.07