Finding the Third Proportional to 123,311 and 268,766

Step by Step Solution

1. Step 1: Write the proportion equation
   123,311 : 268,766 = 268,766 : x
2. Step 2: Convert to fraction form
   123,311/268,766 = 268,766/x
3. Step 3: Cross multiply
   123,311x = 268,766 × 268,766
4. Step 4: Simplify right side
   123,311x = 72,235,162,756
5. Step 5: Solve for x
   x = 72,235,162,756/123,311
6. Step 6: Final answer
   x = 585,796.59