Finding the Third Proportional to 499 and 1,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   499 : 1,241.50 = 1,241.50 : x
2. Step 2: Convert to fraction form
   499/1,241.50 = 1,241.50/x
3. Step 3: Cross multiply
   499x = 1,241.50 × 1,241.50
4. Step 4: Simplify right side
   499x = 1,541,322.25
5. Step 5: Solve for x
   x = 1,541,322.25/499
6. Step 6: Final answer
   x = 3,088.82