Finding the Third Proportional to 154.56 and 238.56

Step by Step Solution

1. Step 1: Write the proportion equation
   154.56 : 238.56 = 238.56 : x
2. Step 2: Convert to fraction form
   154.56/238.56 = 238.56/x
3. Step 3: Cross multiply
   154.56x = 238.56 × 238.56
4. Step 4: Simplify right side
   154.56x = 56,912.07
5. Step 5: Solve for x
   x = 56,912.07/154.56
6. Step 6: Final answer
   x = 368.21