Finding the Third Proportional to 127,972 and 200,732

Step by Step Solution

1. Step 1: Write the proportion equation
   127,972 : 200,732 = 200,732 : x
2. Step 2: Convert to fraction form
   127,972/200,732 = 200,732/x
3. Step 3: Cross multiply
   127,972x = 200,732 × 200,732
4. Step 4: Simplify right side
   127,972x = 40,293,335,824
5. Step 5: Solve for x
   x = 40,293,335,824/127,972
6. Step 6: Final answer
   x = 314,860.56