Finding the Third Proportional to 501.89 and 798.47

Step by Step Solution

1. Step 1: Write the proportion equation
   501.89 : 798.47 = 798.47 : x
2. Step 2: Convert to fraction form
   501.89/798.47 = 798.47/x
3. Step 3: Cross multiply
   501.89x = 798.47 × 798.47
4. Step 4: Simplify right side
   501.89x = 637,552.34
5. Step 5: Solve for x
   x = 637,552.34/501.89
6. Step 6: Final answer
   x = 1,270.30