Finding the Third Proportional to 102.56 and 222.94

Step by Step Solution

1. Step 1: Write the proportion equation
   102.56 : 222.94 = 222.94 : x
2. Step 2: Convert to fraction form
   102.56/222.94 = 222.94/x
3. Step 3: Cross multiply
   102.56x = 222.94 × 222.94
4. Step 4: Simplify right side
   102.56x = 49,701.13
5. Step 5: Solve for x
   x = 49,701.13/102.56
6. Step 6: Final answer
   x = 484.59