Finding the Third Proportional to 335,907 and 494,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,907 : 494,059.50 = 494,059.50 : x
2. Step 2: Convert to fraction form
   335,907/494,059.50 = 494,059.50/x
3. Step 3: Cross multiply
   335,907x = 494,059.50 × 494,059.50
4. Step 4: Simplify right side
   335,907x = 244,094,789,540.25
5. Step 5: Solve for x
   x = 244,094,789,540.25/335,907
6. Step 6: Final answer
   x = 726,673.72