Finding the Third Proportional to 335,919 and 494,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,919 : 494,077.50 = 494,077.50 : x
2. Step 2: Convert to fraction form
   335,919/494,077.50 = 494,077.50/x
3. Step 3: Cross multiply
   335,919x = 494,077.50 × 494,077.50
4. Step 4: Simplify right side
   335,919x = 244,112,576,006.25
5. Step 5: Solve for x
   x = 244,112,576,006.25/335,919
6. Step 6: Final answer
   x = 726,700.71