Finding the Third Proportional to 48.38 and 109.27

Step by Step Solution

1. Step 1: Write the proportion equation
   48.38 : 109.27 = 109.27 : x
2. Step 2: Convert to fraction form
   48.38/109.27 = 109.27/x
3. Step 3: Cross multiply
   48.38x = 109.27 × 109.27
4. Step 4: Simplify right side
   48.38x = 11,940.26
5. Step 5: Solve for x
   x = 11,940.26/48.38
6. Step 6: Final answer
   x = 246.80