Finding the Third Proportional to 268,858 and 412,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,858 : 412,686.50 = 412,686.50 : x
2. Step 2: Convert to fraction form
   268,858/412,686.50 = 412,686.50/x
3. Step 3: Cross multiply
   268,858x = 412,686.50 × 412,686.50
4. Step 4: Simplify right side
   268,858x = 170,310,147,282.25
5. Step 5: Solve for x
   x = 170,310,147,282.25/268,858
6. Step 6: Final answer
   x = 633,457.61