Finding the Third Proportional to 149.88 and 238.31

Step by Step Solution

1. Step 1: Write the proportion equation
   149.88 : 238.31 = 238.31 : x
2. Step 2: Convert to fraction form
   149.88/238.31 = 238.31/x
3. Step 3: Cross multiply
   149.88x = 238.31 × 238.31
4. Step 4: Simplify right side
   149.88x = 56,792.85
5. Step 5: Solve for x
   x = 56,792.85/149.88
6. Step 6: Final answer
   x = 378.93