Finding the Third Proportional to 257,280 and 682,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,280 : 682,906.50 = 682,906.50 : x
2. Step 2: Convert to fraction form
   257,280/682,906.50 = 682,906.50/x
3. Step 3: Cross multiply
   257,280x = 682,906.50 × 682,906.50
4. Step 4: Simplify right side
   257,280x = 466,361,287,742.25
5. Step 5: Solve for x
   x = 466,361,287,742.25/257,280
6. Step 6: Final answer
   x = 1,812,660.48