Finding the Third Proportional to 502.59 and 799.59

Step by Step Solution

1. Step 1: Write the proportion equation
   502.59 : 799.59 = 799.59 : x
2. Step 2: Convert to fraction form
   502.59/799.59 = 799.59/x
3. Step 3: Cross multiply
   502.59x = 799.59 × 799.59
4. Step 4: Simplify right side
   502.59x = 639,350.17
5. Step 5: Solve for x
   x = 639,350.17/502.59
6. Step 6: Final answer
   x = 1,272.10