Finding the Third Proportional to 127.97 and 302.06

Step by Step Solution

1. Step 1: Write the proportion equation
   127.97 : 302.06 = 302.06 : x
2. Step 2: Convert to fraction form
   127.97/302.06 = 302.06/x
3. Step 3: Cross multiply
   127.97x = 302.06 × 302.06
4. Step 4: Simplify right side
   127.97x = 91,241.75
5. Step 5: Solve for x
   x = 91,241.75/127.97
6. Step 6: Final answer
   x = 713.00