Finding the Third Proportional to 127,326 and 196,526

Step by Step Solution

1. Step 1: Write the proportion equation
   127,326 : 196,526 = 196,526 : x
2. Step 2: Convert to fraction form
   127,326/196,526 = 196,526/x
3. Step 3: Cross multiply
   127,326x = 196,526 × 196,526
4. Step 4: Simplify right side
   127,326x = 38,622,468,676
5. Step 5: Solve for x
   x = 38,622,468,676/127,326
6. Step 6: Final answer
   x = 303,335.29