Finding the Third Proportional to 109.50 and 238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 238.50 = 238.50 : x
2. Step 2: Convert to fraction form
   109.50/238.50 = 238.50/x
3. Step 3: Cross multiply
   109.50x = 238.50 × 238.50
4. Step 4: Simplify right side
   109.50x = 56,882.25
5. Step 5: Solve for x
   x = 56,882.25/109.50
6. Step 6: Final answer
   x = 519.47