Finding the Third Proportional to 237.94 and 280.56

Step by Step Solution

1. Step 1: Write the proportion equation
   237.94 : 280.56 = 280.56 : x
2. Step 2: Convert to fraction form
   237.94/280.56 = 280.56/x
3. Step 3: Cross multiply
   237.94x = 280.56 × 280.56
4. Step 4: Simplify right side
   237.94x = 78,715.32
5. Step 5: Solve for x
   x = 78,715.32/237.94
6. Step 6: Final answer
   x = 330.82