Finding the Third Proportional to 123,309 and 268,762

Step by Step Solution

1. Step 1: Write the proportion equation
   123,309 : 268,762 = 268,762 : x
2. Step 2: Convert to fraction form
   123,309/268,762 = 268,762/x
3. Step 3: Cross multiply
   123,309x = 268,762 × 268,762
4. Step 4: Simplify right side
   123,309x = 72,233,012,644
5. Step 5: Solve for x
   x = 72,233,012,644/123,309
6. Step 6: Final answer
   x = 585,788.65