Finding the Third Proportional to 127,728 and 196,056

Step by Step Solution

1. Step 1: Write the proportion equation
   127,728 : 196,056 = 196,056 : x
2. Step 2: Convert to fraction form
   127,728/196,056 = 196,056/x
3. Step 3: Cross multiply
   127,728x = 196,056 × 196,056
4. Step 4: Simplify right side
   127,728x = 38,437,955,136
5. Step 5: Solve for x
   x = 38,437,955,136/127,728
6. Step 6: Final answer
   x = 300,936.01