Finding the Third Proportional to 103.78 and 241.42

Step by Step Solution

1. Step 1: Write the proportion equation
   103.78 : 241.42 = 241.42 : x
2. Step 2: Convert to fraction form
   103.78/241.42 = 241.42/x
3. Step 3: Cross multiply
   103.78x = 241.42 × 241.42
4. Step 4: Simplify right side
   103.78x = 58,282.64
5. Step 5: Solve for x
   x = 58,282.64/103.78
6. Step 6: Final answer
   x = 561.59