Finding the Third Proportional to 127.41 and 242.16

Step by Step Solution

1. Step 1: Write the proportion equation
   127.41 : 242.16 = 242.16 : x
2. Step 2: Convert to fraction form
   127.41/242.16 = 242.16/x
3. Step 3: Cross multiply
   127.41x = 242.16 × 242.16
4. Step 4: Simplify right side
   127.41x = 58,639.65
5. Step 5: Solve for x
   x = 58,639.65/127.41
6. Step 6: Final answer
   x = 460.26