Finding the Third Proportional to 490.50 and 722.25

Step by Step Solution

1. Step 1: Write the proportion equation
   490.50 : 722.25 = 722.25 : x
2. Step 2: Convert to fraction form
   490.50/722.25 = 722.25/x
3. Step 3: Cross multiply
   490.50x = 722.25 × 722.25
4. Step 4: Simplify right side
   490.50x = 521,645.06
5. Step 5: Solve for x
   x = 521,645.06/490.50
6. Step 6: Final answer
   x = 1,063.50