Finding the Third Proportional to 103.50 and 218.81

Step by Step Solution

1. Step 1: Write the proportion equation
   103.50 : 218.81 = 218.81 : x
2. Step 2: Convert to fraction form
   103.50/218.81 = 218.81/x
3. Step 3: Cross multiply
   103.50x = 218.81 × 218.81
4. Step 4: Simplify right side
   103.50x = 47,878.91
5. Step 5: Solve for x
   x = 47,878.91/103.50
6. Step 6: Final answer
   x = 462.60