Finding the Third Proportional to 500.25 and 799.25

Step by Step Solution

1. Step 1: Write the proportion equation
   500.25 : 799.25 = 799.25 : x
2. Step 2: Convert to fraction form
   500.25/799.25 = 799.25/x
3. Step 3: Cross multiply
   500.25x = 799.25 × 799.25
4. Step 4: Simplify right side
   500.25x = 638,800.56
5. Step 5: Solve for x
   x = 638,800.56/500.25
6. Step 6: Final answer
   x = 1,276.96