Finding the Third Proportional to 229.75 and 410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229.75 : 410.50 = 410.50 : x
2. Step 2: Convert to fraction form
   229.75/410.50 = 410.50/x
3. Step 3: Cross multiply
   229.75x = 410.50 × 410.50
4. Step 4: Simplify right side
   229.75x = 168,510.25
5. Step 5: Solve for x
   x = 168,510.25/229.75
6. Step 6: Final answer
   x = 733.45