Finding the Third Proportional to 496.50 and 763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   496.50 : 763.50 = 763.50 : x
2. Step 2: Convert to fraction form
   496.50/763.50 = 763.50/x
3. Step 3: Cross multiply
   496.50x = 763.50 × 763.50
4. Step 4: Simplify right side
   496.50x = 582,932.25
5. Step 5: Solve for x
   x = 582,932.25/496.50
6. Step 6: Final answer
   x = 1,174.08