Finding the Third Proportional to 150.56 and 238.69

Step by Step Solution

1. Step 1: Write the proportion equation
   150.56 : 238.69 = 238.69 : x
2. Step 2: Convert to fraction form
   150.56/238.69 = 238.69/x
3. Step 3: Cross multiply
   150.56x = 238.69 × 238.69
4. Step 4: Simplify right side
   150.56x = 56,971.72
5. Step 5: Solve for x
   x = 56,971.72/150.56
6. Step 6: Final answer
   x = 378.39