Finding the Third Proportional to 166.50 and 238.31

Step by Step Solution

1. Step 1: Write the proportion equation
   166.50 : 238.31 = 238.31 : x
2. Step 2: Convert to fraction form
   166.50/238.31 = 238.31/x
3. Step 3: Cross multiply
   166.50x = 238.31 × 238.31
4. Step 4: Simplify right side
   166.50x = 56,792.85
5. Step 5: Solve for x
   x = 56,792.85/166.50
6. Step 6: Final answer
   x = 341.10