Finding the Third Proportional to 123,426 and 268,956

Step by Step Solution

1. Step 1: Write the proportion equation
   123,426 : 268,956 = 268,956 : x
2. Step 2: Convert to fraction form
   123,426/268,956 = 268,956/x
3. Step 3: Cross multiply
   123,426x = 268,956 × 268,956
4. Step 4: Simplify right side
   123,426x = 72,337,329,936
5. Step 5: Solve for x
   x = 72,337,329,936/123,426
6. Step 6: Final answer
   x = 586,078.54