Finding the Third Proportional to 123,354 and 268,902

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 268,902 = 268,902 : x
2. Step 2: Convert to fraction form
   123,354/268,902 = 268,902/x
3. Step 3: Cross multiply
   123,354x = 268,902 × 268,902
4. Step 4: Simplify right side
   123,354x = 72,308,285,604
5. Step 5: Solve for x
   x = 72,308,285,604/123,354
6. Step 6: Final answer
   x = 586,185.17