Finding the Third Proportional to 106.56 and 222.56

Step by Step Solution

1. Step 1: Write the proportion equation
   106.56 : 222.56 = 222.56 : x
2. Step 2: Convert to fraction form
   106.56/222.56 = 222.56/x
3. Step 3: Cross multiply
   106.56x = 222.56 × 222.56
4. Step 4: Simplify right side
   106.56x = 49,534.07
5. Step 5: Solve for x
   x = 49,534.07/106.56
6. Step 6: Final answer
   x = 464.84