Finding the Third Proportional to 127,165.50 and 196,596

Step by Step Solution

1. Step 1: Write the proportion equation
   127,165.50 : 196,596 = 196,596 : x
2. Step 2: Convert to fraction form
   127,165.50/196,596 = 196,596/x
3. Step 3: Cross multiply
   127,165.50x = 196,596 × 196,596
4. Step 4: Simplify right side
   127,165.50x = 38,649,987,216
5. Step 5: Solve for x
   x = 38,649,987,216/127,165.50
6. Step 6: Final answer
   x = 303,934.54