Finding the Third Proportional to 101.50 and 222.28

Step by Step Solution

1. Step 1: Write the proportion equation
   101.50 : 222.28 = 222.28 : x
2. Step 2: Convert to fraction form
   101.50/222.28 = 222.28/x
3. Step 3: Cross multiply
   101.50x = 222.28 × 222.28
4. Step 4: Simplify right side
   101.50x = 49,408.95
5. Step 5: Solve for x
   x = 49,408.95/101.50
6. Step 6: Final answer
   x = 486.79