Finding the Third Proportional to 501 and 1,099.31

Step by Step Solution

1. Step 1: Write the proportion equation
   501 : 1,099.31 = 1,099.31 : x
2. Step 2: Convert to fraction form
   501/1,099.31 = 1,099.31/x
3. Step 3: Cross multiply
   501x = 1,099.31 × 1,099.31
4. Step 4: Simplify right side
   501x = 1,208,487.97
5. Step 5: Solve for x
   x = 1,208,487.97/501
6. Step 6: Final answer
   x = 2,412.15