Finding the Third Proportional to 359.25 and 682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359.25 : 682.50 = 682.50 : x
2. Step 2: Convert to fraction form
   359.25/682.50 = 682.50/x
3. Step 3: Cross multiply
   359.25x = 682.50 × 682.50
4. Step 4: Simplify right side
   359.25x = 465,806.25
5. Step 5: Solve for x
   x = 465,806.25/359.25
6. Step 6: Final answer
   x = 1,296.61