Finding the Third Proportional to 230,944 and 496,266

Step by Step Solution

1. Step 1: Write the proportion equation
   230,944 : 496,266 = 496,266 : x
2. Step 2: Convert to fraction form
   230,944/496,266 = 496,266/x
3. Step 3: Cross multiply
   230,944x = 496,266 × 496,266
4. Step 4: Simplify right side
   230,944x = 246,279,942,756
5. Step 5: Solve for x
   x = 246,279,942,756/230,944
6. Step 6: Final answer
   x = 1,066,405.46