Finding the Third Proportional to 127.69 and 205.03

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 205.03 = 205.03 : x
2. Step 2: Convert to fraction form
   127.69/205.03 = 205.03/x
3. Step 3: Cross multiply
   127.69x = 205.03 × 205.03
4. Step 4: Simplify right side
   127.69x = 42,037.81
5. Step 5: Solve for x
   x = 42,037.81/127.69
6. Step 6: Final answer
   x = 329.22