Finding the Third Proportional to 123,728 and 192,072

Step by Step Solution

1. Step 1: Write the proportion equation
   123,728 : 192,072 = 192,072 : x
2. Step 2: Convert to fraction form
   123,728/192,072 = 192,072/x
3. Step 3: Cross multiply
   123,728x = 192,072 × 192,072
4. Step 4: Simplify right side
   123,728x = 36,891,653,184
5. Step 5: Solve for x
   x = 36,891,653,184/123,728
6. Step 6: Final answer
   x = 298,167.38