Finding the Third Proportional to 329,784 and 496,116

Step by Step Solution

1. Step 1: Write the proportion equation
   329,784 : 496,116 = 496,116 : x
2. Step 2: Convert to fraction form
   329,784/496,116 = 496,116/x
3. Step 3: Cross multiply
   329,784x = 496,116 × 496,116
4. Step 4: Simplify right side
   329,784x = 246,131,085,456
5. Step 5: Solve for x
   x = 246,131,085,456/329,784
6. Step 6: Final answer
   x = 746,340.29