Finding the Third Proportional to 179.50 and 269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179.50 : 269.50 = 269.50 : x
2. Step 2: Convert to fraction form
   179.50/269.50 = 269.50/x
3. Step 3: Cross multiply
   179.50x = 269.50 × 269.50
4. Step 4: Simplify right side
   179.50x = 72,630.25
5. Step 5: Solve for x
   x = 72,630.25/179.50
6. Step 6: Final answer
   x = 404.63