Finding the Third Proportional to 101.57 and 221.27

Step by Step Solution

1. Step 1: Write the proportion equation
   101.57 : 221.27 = 221.27 : x
2. Step 2: Convert to fraction form
   101.57/221.27 = 221.27/x
3. Step 3: Cross multiply
   101.57x = 221.27 × 221.27
4. Step 4: Simplify right side
   101.57x = 48,961.93
5. Step 5: Solve for x
   x = 48,961.93/101.57
6. Step 6: Final answer
   x = 482.07