Finding the Third Proportional to 218.53 and 334.69

Step by Step Solution

1. Step 1: Write the proportion equation
   218.53 : 334.69 = 334.69 : x
2. Step 2: Convert to fraction form
   218.53/334.69 = 334.69/x
3. Step 3: Cross multiply
   218.53x = 334.69 × 334.69
4. Step 4: Simplify right side
   218.53x = 112,015.72
5. Step 5: Solve for x
   x = 112,015.72/218.53
6. Step 6: Final answer
   x = 512.58