Finding the Third Proportional to 268,857 and 412,684.88

Step by Step Solution

1. Step 1: Write the proportion equation
   268,857 : 412,684.88 = 412,684.88 : x
2. Step 2: Convert to fraction form
   268,857/412,684.88 = 412,684.88/x
3. Step 3: Cross multiply
   268,857x = 412,684.88 × 412,684.88
4. Step 4: Simplify right side
   268,857x = 170,308,806,053.77
5. Step 5: Solve for x
   x = 170,308,806,053.77/268,857
6. Step 6: Final answer
   x = 633,454.98