Finding the Third Proportional to 109.71 and 238.70

Step by Step Solution

1. Step 1: Write the proportion equation
   109.71 : 238.70 = 238.70 : x
2. Step 2: Convert to fraction form
   109.71/238.70 = 238.70/x
3. Step 3: Cross multiply
   109.71x = 238.70 × 238.70
4. Step 4: Simplify right side
   109.71x = 56,978.72
5. Step 5: Solve for x
   x = 56,978.72/109.71
6. Step 6: Final answer
   x = 519.34