Finding the Third Proportional to 52.38 and 109.53

Step by Step Solution

1. Step 1: Write the proportion equation
   52.38 : 109.53 = 109.53 : x
2. Step 2: Convert to fraction form
   52.38/109.53 = 109.53/x
3. Step 3: Cross multiply
   52.38x = 109.53 × 109.53
4. Step 4: Simplify right side
   52.38x = 11,997.09
5. Step 5: Solve for x
   x = 11,997.09/52.38
6. Step 6: Final answer
   x = 229.06