Finding the Third Proportional to 123,067 and 268,369

Step by Step Solution

1. Step 1: Write the proportion equation
   123,067 : 268,369 = 268,369 : x
2. Step 2: Convert to fraction form
   123,067/268,369 = 268,369/x
3. Step 3: Cross multiply
   123,067x = 268,369 × 268,369
4. Step 4: Simplify right side
   123,067x = 72,021,920,161
5. Step 5: Solve for x
   x = 72,021,920,161/123,067
6. Step 6: Final answer
   x = 585,225.29