Finding the Third Proportional to 103.78 and 143.96

Step by Step Solution

1. Step 1: Write the proportion equation
   103.78 : 143.96 = 143.96 : x
2. Step 2: Convert to fraction form
   103.78/143.96 = 143.96/x
3. Step 3: Cross multiply
   103.78x = 143.96 × 143.96
4. Step 4: Simplify right side
   103.78x = 20,725.88
5. Step 5: Solve for x
   x = 20,725.88/103.78
6. Step 6: Final answer
   x = 199.71