Finding the Third Proportional to 232,946 and 496,396

Step by Step Solution

1. Step 1: Write the proportion equation
   232,946 : 496,396 = 496,396 : x
2. Step 2: Convert to fraction form
   232,946/496,396 = 496,396/x
3. Step 3: Cross multiply
   232,946x = 496,396 × 496,396
4. Step 4: Simplify right side
   232,946x = 246,408,988,816
5. Step 5: Solve for x
   x = 246,408,988,816/232,946
6. Step 6: Final answer
   x = 1,057,794.46