Finding the Third Proportional to 103.57 and 208.83

Step by Step Solution

1. Step 1: Write the proportion equation
   103.57 : 208.83 = 208.83 : x
2. Step 2: Convert to fraction form
   103.57/208.83 = 208.83/x
3. Step 3: Cross multiply
   103.57x = 208.83 × 208.83
4. Step 4: Simplify right side
   103.57x = 43,609.19
5. Step 5: Solve for x
   x = 43,609.19/103.57
6. Step 6: Final answer
   x = 421.06