Finding the Third Proportional to 219.50 and 359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219.50 : 359.50 = 359.50 : x
2. Step 2: Convert to fraction form
   219.50/359.50 = 359.50/x
3. Step 3: Cross multiply
   219.50x = 359.50 × 359.50
4. Step 4: Simplify right side
   219.50x = 129,240.25
5. Step 5: Solve for x
   x = 129,240.25/219.50
6. Step 6: Final answer
   x = 588.79