Finding the Third Proportional to 456,723 and 962,682

Step by Step Solution

1. Step 1: Write the proportion equation
   456,723 : 962,682 = 962,682 : x
2. Step 2: Convert to fraction form
   456,723/962,682 = 962,682/x
3. Step 3: Cross multiply
   456,723x = 962,682 × 962,682
4. Step 4: Simplify right side
   456,723x = 926,756,633,124
5. Step 5: Solve for x
   x = 926,756,633,124/456,723
6. Step 6: Final answer
   x = 2,029,143.78