Finding the Third Proportional to 249.75 and 360.56

Step by Step Solution

1. Step 1: Write the proportion equation
   249.75 : 360.56 = 360.56 : x
2. Step 2: Convert to fraction form
   249.75/360.56 = 360.56/x
3. Step 3: Cross multiply
   249.75x = 360.56 × 360.56
4. Step 4: Simplify right side
   249.75x = 130,005.32
5. Step 5: Solve for x
   x = 130,005.32/249.75
6. Step 6: Final answer
   x = 520.54