Finding the Third Proportional to 127,021 and 268,298

Step by Step Solution

1. Step 1: Write the proportion equation
   127,021 : 268,298 = 268,298 : x
2. Step 2: Convert to fraction form
   127,021/268,298 = 268,298/x
3. Step 3: Cross multiply
   127,021x = 268,298 × 268,298
4. Step 4: Simplify right side
   127,021x = 71,983,816,804
5. Step 5: Solve for x
   x = 71,983,816,804/127,021
6. Step 6: Final answer
   x = 566,708.00