Finding the Third Proportional to 101.74 and 221.52

Step by Step Solution

1. Step 1: Write the proportion equation
   101.74 : 221.52 = 221.52 : x
2. Step 2: Convert to fraction form
   101.74/221.52 = 221.52/x
3. Step 3: Cross multiply
   101.74x = 221.52 × 221.52
4. Step 4: Simplify right side
   101.74x = 49,072.85
5. Step 5: Solve for x
   x = 49,072.85/101.74
6. Step 6: Final answer
   x = 482.32