Finding the Third Proportional to 496.41 and 774.56

Step by Step Solution

1. Step 1: Write the proportion equation
   496.41 : 774.56 = 774.56 : x
2. Step 2: Convert to fraction form
   496.41/774.56 = 774.56/x
3. Step 3: Cross multiply
   496.41x = 774.56 × 774.56
4. Step 4: Simplify right side
   496.41x = 599,947.07
5. Step 5: Solve for x
   x = 599,947.07/496.41
6. Step 6: Final answer
   x = 1,208.58