Finding the Third Proportional to 123,966 and 268,533

Step by Step Solution

1. Step 1: Write the proportion equation
   123,966 : 268,533 = 268,533 : x
2. Step 2: Convert to fraction form
   123,966/268,533 = 268,533/x
3. Step 3: Cross multiply
   123,966x = 268,533 × 268,533
4. Step 4: Simplify right side
   123,966x = 72,109,972,089
5. Step 5: Solve for x
   x = 72,109,972,089/123,966
6. Step 6: Final answer
   x = 581,691.53