Finding the Third Proportional to 357.56 and 516.56

Step by Step Solution

1. Step 1: Write the proportion equation
   357.56 : 516.56 = 516.56 : x
2. Step 2: Convert to fraction form
   357.56/516.56 = 516.56/x
3. Step 3: Cross multiply
   357.56x = 516.56 × 516.56
4. Step 4: Simplify right side
   357.56x = 266,836.82
5. Step 5: Solve for x
   x = 266,836.82/357.56
6. Step 6: Final answer
   x = 746.27