Finding the Third Proportional to 219.38 and 334.69

Step by Step Solution

1. Step 1: Write the proportion equation
   219.38 : 334.69 = 334.69 : x
2. Step 2: Convert to fraction form
   219.38/334.69 = 334.69/x
3. Step 3: Cross multiply
   219.38x = 334.69 × 334.69
4. Step 4: Simplify right side
   219.38x = 112,015.72
5. Step 5: Solve for x
   x = 112,015.72/219.38
6. Step 6: Final answer
   x = 510.61