Finding the Third Proportional to 126,760.50 and 194,857

Step by Step Solution

1. Step 1: Write the proportion equation
   126,760.50 : 194,857 = 194,857 : x
2. Step 2: Convert to fraction form
   126,760.50/194,857 = 194,857/x
3. Step 3: Cross multiply
   126,760.50x = 194,857 × 194,857
4. Step 4: Simplify right side
   126,760.50x = 37,969,250,449
5. Step 5: Solve for x
   x = 37,969,250,449/126,760.50
6. Step 6: Final answer
   x = 299,535.35