Finding the Third Proportional to 127,162.13 and 196,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,162.13 : 196,589.25 = 196,589.25 : x
2. Step 2: Convert to fraction form
   127,162.13/196,589.25 = 196,589.25/x
3. Step 3: Cross multiply
   127,162.13x = 196,589.25 × 196,589.25
4. Step 4: Simplify right side
   127,162.13x = 38,647,333,215.56
5. Step 5: Solve for x
   x = 38,647,333,215.56/127,162.13
6. Step 6: Final answer
   x = 303,921.73