Finding the Third Proportional to 234.56 and 361.69

Step by Step Solution

1. Step 1: Write the proportion equation
   234.56 : 361.69 = 361.69 : x
2. Step 2: Convert to fraction form
   234.56/361.69 = 361.69/x
3. Step 3: Cross multiply
   234.56x = 361.69 × 361.69
4. Step 4: Simplify right side
   234.56x = 130,817.85
5. Step 5: Solve for x
   x = 130,817.85/234.56
6. Step 6: Final answer
   x = 557.71