Finding the Third Proportional to 127,155 and 197,016

Step by Step Solution

1. Step 1: Write the proportion equation
   127,155 : 197,016 = 197,016 : x
2. Step 2: Convert to fraction form
   127,155/197,016 = 197,016/x
3. Step 3: Cross multiply
   127,155x = 197,016 × 197,016
4. Step 4: Simplify right side
   127,155x = 38,815,304,256
5. Step 5: Solve for x
   x = 38,815,304,256/127,155
6. Step 6: Final answer
   x = 305,259.76