Finding the Third Proportional to 110.88 and 238.69

Step by Step Solution

1. Step 1: Write the proportion equation
   110.88 : 238.69 = 238.69 : x
2. Step 2: Convert to fraction form
   110.88/238.69 = 238.69/x
3. Step 3: Cross multiply
   110.88x = 238.69 × 238.69
4. Step 4: Simplify right side
   110.88x = 56,971.72
5. Step 5: Solve for x
   x = 56,971.72/110.88
6. Step 6: Final answer
   x = 513.84