Finding the Third Proportional to 123,988 and 268,576

Step by Step Solution

1. Step 1: Write the proportion equation
   123,988 : 268,576 = 268,576 : x
2. Step 2: Convert to fraction form
   123,988/268,576 = 268,576/x
3. Step 3: Cross multiply
   123,988x = 268,576 × 268,576
4. Step 4: Simplify right side
   123,988x = 72,133,067,776
5. Step 5: Solve for x
   x = 72,133,067,776/123,988
6. Step 6: Final answer
   x = 581,774.59