Finding the Third Proportional to 462,816 and 962,496

Step by Step Solution

1. Step 1: Write the proportion equation
   462,816 : 962,496 = 962,496 : x
2. Step 2: Convert to fraction form
   462,816/962,496 = 962,496/x
3. Step 3: Cross multiply
   462,816x = 962,496 × 962,496
4. Step 4: Simplify right side
   462,816x = 926,398,550,016
5. Step 5: Solve for x
   x = 926,398,550,016/462,816
6. Step 6: Final answer
   x = 2,001,656.27