Finding the Third Proportional to 101.09 and 222.72

Step by Step Solution

1. Step 1: Write the proportion equation
   101.09 : 222.72 = 222.72 : x
2. Step 2: Convert to fraction form
   101.09/222.72 = 222.72/x
3. Step 3: Cross multiply
   101.09x = 222.72 × 222.72
4. Step 4: Simplify right side
   101.09x = 49,603.64
5. Step 5: Solve for x
   x = 49,603.64/101.09
6. Step 6: Final answer
   x = 490.67