Finding the Third Proportional to 122,938 and 192,016

Step by Step Solution

1. Step 1: Write the proportion equation
   122,938 : 192,016 = 192,016 : x
2. Step 2: Convert to fraction form
   122,938/192,016 = 192,016/x
3. Step 3: Cross multiply
   122,938x = 192,016 × 192,016
4. Step 4: Simplify right side
   122,938x = 36,870,144,256
5. Step 5: Solve for x
   x = 36,870,144,256/122,938
6. Step 6: Final answer
   x = 299,908.44