Finding the Third Proportional to 123,000 and 268,788

Step by Step Solution

1. Step 1: Write the proportion equation
   123,000 : 268,788 = 268,788 : x
2. Step 2: Convert to fraction form
   123,000/268,788 = 268,788/x
3. Step 3: Cross multiply
   123,000x = 268,788 × 268,788
4. Step 4: Simplify right side
   123,000x = 72,246,988,944
5. Step 5: Solve for x
   x = 72,246,988,944/123,000
6. Step 6: Final answer
   x = 587,373.89