Finding the Third Proportional to 150.56 and 241.78

Step by Step Solution

1. Step 1: Write the proportion equation
   150.56 : 241.78 = 241.78 : x
2. Step 2: Convert to fraction form
   150.56/241.78 = 241.78/x
3. Step 3: Cross multiply
   150.56x = 241.78 × 241.78
4. Step 4: Simplify right side
   150.56x = 58,458.17
5. Step 5: Solve for x
   x = 58,458.17/150.56
6. Step 6: Final answer
   x = 388.27