Finding the Third Proportional to 456,956 and 682,746

Step by Step Solution

1. Step 1: Write the proportion equation
   456,956 : 682,746 = 682,746 : x
2. Step 2: Convert to fraction form
   456,956/682,746 = 682,746/x
3. Step 3: Cross multiply
   456,956x = 682,746 × 682,746
4. Step 4: Simplify right side
   456,956x = 466,142,100,516
5. Step 5: Solve for x
   x = 466,142,100,516/456,956
6. Step 6: Final answer
   x = 1,020,102.81