Finding the Third Proportional to 127,780 and 196,136

Step by Step Solution

1. Step 1: Write the proportion equation
   127,780 : 196,136 = 196,136 : x
2. Step 2: Convert to fraction form
   127,780/196,136 = 196,136/x
3. Step 3: Cross multiply
   127,780x = 196,136 × 196,136
4. Step 4: Simplify right side
   127,780x = 38,469,330,496
5. Step 5: Solve for x
   x = 38,469,330,496/127,780
6. Step 6: Final answer
   x = 301,059.09