Finding the Third Proportional to 335,112 and 496,105

Step by Step Solution

1. Step 1: Write the proportion equation
   335,112 : 496,105 = 496,105 : x
2. Step 2: Convert to fraction form
   335,112/496,105 = 496,105/x
3. Step 3: Cross multiply
   335,112x = 496,105 × 496,105
4. Step 4: Simplify right side
   335,112x = 246,120,171,025
5. Step 5: Solve for x
   x = 246,120,171,025/335,112
6. Step 6: Final answer
   x = 734,441.53