Finding the Third Proportional to 101.41 and 221.46

Step by Step Solution

1. Step 1: Write the proportion equation
   101.41 : 221.46 = 221.46 : x
2. Step 2: Convert to fraction form
   101.41/221.46 = 221.46/x
3. Step 3: Cross multiply
   101.41x = 221.46 × 221.46
4. Step 4: Simplify right side
   101.41x = 49,044.95
5. Step 5: Solve for x
   x = 49,044.95/101.41
6. Step 6: Final answer
   x = 483.61