Finding the Third Proportional to 126.56 and 189.56

Step by Step Solution

1. Step 1: Write the proportion equation
   126.56 : 189.56 = 189.56 : x
2. Step 2: Convert to fraction form
   126.56/189.56 = 189.56/x
3. Step 3: Cross multiply
   126.56x = 189.56 × 189.56
4. Step 4: Simplify right side
   126.56x = 35,933.94
5. Step 5: Solve for x
   x = 35,933.94/126.56
6. Step 6: Final answer
   x = 283.92