Finding the Third Proportional to 232,838 and 496,204

Step by Step Solution

1. Step 1: Write the proportion equation
   232,838 : 496,204 = 496,204 : x
2. Step 2: Convert to fraction form
   232,838/496,204 = 496,204/x
3. Step 3: Cross multiply
   232,838x = 496,204 × 496,204
4. Step 4: Simplify right side
   232,838x = 246,218,409,616
5. Step 5: Solve for x
   x = 246,218,409,616/232,838
6. Step 6: Final answer
   x = 1,057,466.61