Finding the Third Proportional to 127,136.25 and 185,836.78

Step by Step Solution

1. Step 1: Write the proportion equation
   127,136.25 : 185,836.78 = 185,836.78 : x
2. Step 2: Convert to fraction form
   127,136.25/185,836.78 = 185,836.78/x
3. Step 3: Cross multiply
   127,136.25x = 185,836.78 × 185,836.78
4. Step 4: Simplify right side
   127,136.25x = 34,535,309,265.36
5. Step 5: Solve for x
   x = 34,535,309,265.36/127,136.25
6. Step 6: Final answer
   x = 271,640.14