Finding the Third Proportional to 378,304 and 562,096

Step by Step Solution

1. Step 1: Write the proportion equation
   378,304 : 562,096 = 562,096 : x
2. Step 2: Convert to fraction form
   378,304/562,096 = 562,096/x
3. Step 3: Cross multiply
   378,304x = 562,096 × 562,096
4. Step 4: Simplify right side
   378,304x = 315,951,913,216
5. Step 5: Solve for x
   x = 315,951,913,216/378,304
6. Step 6: Final answer
   x = 835,179.94