Finding the Third Proportional to 196,590 and 269,019

Step by Step Solution

1. Step 1: Write the proportion equation
   196,590 : 269,019 = 269,019 : x
2. Step 2: Convert to fraction form
   196,590/269,019 = 269,019/x
3. Step 3: Cross multiply
   196,590x = 269,019 × 269,019
4. Step 4: Simplify right side
   196,590x = 72,371,222,361
5. Step 5: Solve for x
   x = 72,371,222,361/196,590
6. Step 6: Final answer
   x = 368,132.78