Finding the Third Proportional to 320.50 and 757.25

Step by Step Solution

1. Step 1: Write the proportion equation
   320.50 : 757.25 = 757.25 : x
2. Step 2: Convert to fraction form
   320.50/757.25 = 757.25/x
3. Step 3: Cross multiply
   320.50x = 757.25 × 757.25
4. Step 4: Simplify right side
   320.50x = 573,427.56
5. Step 5: Solve for x
   x = 573,427.56/320.50
6. Step 6: Final answer
   x = 1,789.17