Finding the Third Proportional to 123,985 and 268,571

Step by Step Solution

1. Step 1: Write the proportion equation
   123,985 : 268,571 = 268,571 : x
2. Step 2: Convert to fraction form
   123,985/268,571 = 268,571/x
3. Step 3: Cross multiply
   123,985x = 268,571 × 268,571
4. Step 4: Simplify right side
   123,985x = 72,130,382,041
5. Step 5: Solve for x
   x = 72,130,382,041/123,985
6. Step 6: Final answer
   x = 581,767.00