Finding the Third Proportional to 101.46 and 222.33

Step by Step Solution

1. Step 1: Write the proportion equation
   101.46 : 222.33 = 222.33 : x
2. Step 2: Convert to fraction form
   101.46/222.33 = 222.33/x
3. Step 3: Cross multiply
   101.46x = 222.33 × 222.33
4. Step 4: Simplify right side
   101.46x = 49,429.80
5. Step 5: Solve for x
   x = 49,429.80/101.46
6. Step 6: Final answer
   x = 487.18