Finding the Third Proportional to 258.38 and 300.56

Step by Step Solution

1. Step 1: Write the proportion equation
   258.38 : 300.56 = 300.56 : x
2. Step 2: Convert to fraction form
   258.38/300.56 = 300.56/x
3. Step 3: Cross multiply
   258.38x = 300.56 × 300.56
4. Step 4: Simplify right side
   258.38x = 90,337.82
5. Step 5: Solve for x
   x = 90,337.82/258.38
6. Step 6: Final answer
   x = 349.64