Finding the Third Proportional to 144.25 and 192.38

Step by Step Solution

1. Step 1: Write the proportion equation
   144.25 : 192.38 = 192.38 : x
2. Step 2: Convert to fraction form
   144.25/192.38 = 192.38/x
3. Step 3: Cross multiply
   144.25x = 192.38 × 192.38
4. Step 4: Simplify right side
   144.25x = 37,008.14
5. Step 5: Solve for x
   x = 37,008.14/144.25
6. Step 6: Final answer
   x = 256.56