Finding the Third Proportional to 109.50 and 216.38

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 216.38 = 216.38 : x
2. Step 2: Convert to fraction form
   109.50/216.38 = 216.38/x
3. Step 3: Cross multiply
   109.50x = 216.38 × 216.38
4. Step 4: Simplify right side
   109.50x = 46,818.14
5. Step 5: Solve for x
   x = 46,818.14/109.50
6. Step 6: Final answer
   x = 427.56