Finding the Third Proportional to 335,401.50 and 498,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,401.50 : 498,538.50 = 498,538.50 : x
2. Step 2: Convert to fraction form
   335,401.50/498,538.50 = 498,538.50/x
3. Step 3: Cross multiply
   335,401.50x = 498,538.50 × 498,538.50
4. Step 4: Simplify right side
   335,401.50x = 248,540,635,982.25
5. Step 5: Solve for x
   x = 248,540,635,982.25/335,401.50
6. Step 6: Final answer
   x = 741,024.22