Finding the Third Proportional to 101.75 and 222.88

Step by Step Solution

1. Step 1: Write the proportion equation
   101.75 : 222.88 = 222.88 : x
2. Step 2: Convert to fraction form
   101.75/222.88 = 222.88/x
3. Step 3: Cross multiply
   101.75x = 222.88 × 222.88
4. Step 4: Simplify right side
   101.75x = 49,673.27
5. Step 5: Solve for x
   x = 49,673.27/101.75
6. Step 6: Final answer
   x = 488.19