Finding the Third Proportional to 127,734 and 196,065

Step by Step Solution

1. Step 1: Write the proportion equation
   127,734 : 196,065 = 196,065 : x
2. Step 2: Convert to fraction form
   127,734/196,065 = 196,065/x
3. Step 3: Cross multiply
   127,734x = 196,065 × 196,065
4. Step 4: Simplify right side
   127,734x = 38,441,484,225
5. Step 5: Solve for x
   x = 38,441,484,225/127,734
6. Step 6: Final answer
   x = 300,949.51