Finding the Third Proportional to 102.50 and 222.88

Step by Step Solution

1. Step 1: Write the proportion equation
   102.50 : 222.88 = 222.88 : x
2. Step 2: Convert to fraction form
   102.50/222.88 = 222.88/x
3. Step 3: Cross multiply
   102.50x = 222.88 × 222.88
4. Step 4: Simplify right side
   102.50x = 49,673.27
5. Step 5: Solve for x
   x = 49,673.27/102.50
6. Step 6: Final answer
   x = 484.62