Finding the Third Proportional to 127,899 and 269,055

Step by Step Solution

1. Step 1: Write the proportion equation
   127,899 : 269,055 = 269,055 : x
2. Step 2: Convert to fraction form
   127,899/269,055 = 269,055/x
3. Step 3: Cross multiply
   127,899x = 269,055 × 269,055
4. Step 4: Simplify right side
   127,899x = 72,390,593,025
5. Step 5: Solve for x
   x = 72,390,593,025/127,899
6. Step 6: Final answer
   x = 565,998.12