Finding the Third Proportional to 50.91 and 107.72

Step by Step Solution

1. Step 1: Write the proportion equation
   50.91 : 107.72 = 107.72 : x
2. Step 2: Convert to fraction form
   50.91/107.72 = 107.72/x
3. Step 3: Cross multiply
   50.91x = 107.72 × 107.72
4. Step 4: Simplify right side
   50.91x = 11,603.33
5. Step 5: Solve for x
   x = 11,603.33/50.91
6. Step 6: Final answer
   x = 227.94