Finding the Third Proportional to 47.25 and 103.78

Step by Step Solution

1. Step 1: Write the proportion equation
   47.25 : 103.78 = 103.78 : x
2. Step 2: Convert to fraction form
   47.25/103.78 = 103.78/x
3. Step 3: Cross multiply
   47.25x = 103.78 × 103.78
4. Step 4: Simplify right side
   47.25x = 10,770.55
5. Step 5: Solve for x
   x = 10,770.55/47.25
6. Step 6: Final answer
   x = 227.95