Finding the Third Proportional to 218.81 and 360.56

Step by Step Solution

1. Step 1: Write the proportion equation
   218.81 : 360.56 = 360.56 : x
2. Step 2: Convert to fraction form
   218.81/360.56 = 360.56/x
3. Step 3: Cross multiply
   218.81x = 360.56 × 360.56
4. Step 4: Simplify right side
   218.81x = 130,005.32
5. Step 5: Solve for x
   x = 130,005.32/218.81
6. Step 6: Final answer
   x = 594.14