Finding the Third Proportional to 219.56 and 337.59

Step by Step Solution

1. Step 1: Write the proportion equation
   219.56 : 337.59 = 337.59 : x
2. Step 2: Convert to fraction form
   219.56/337.59 = 337.59/x
3. Step 3: Cross multiply
   219.56x = 337.59 × 337.59
4. Step 4: Simplify right side
   219.56x = 113,969.54
5. Step 5: Solve for x
   x = 113,969.54/219.56
6. Step 6: Final answer
   x = 519.08