Finding the Third Proportional to 319.50 and 504.56

Step by Step Solution

1. Step 1: Write the proportion equation
   319.50 : 504.56 = 504.56 : x
2. Step 2: Convert to fraction form
   319.50/504.56 = 504.56/x
3. Step 3: Cross multiply
   319.50x = 504.56 × 504.56
4. Step 4: Simplify right side
   319.50x = 254,583.32
5. Step 5: Solve for x
   x = 254,583.32/319.50
6. Step 6: Final answer
   x = 796.82