Finding the Third Proportional to 123,792 and 192,156

Step by Step Solution

1. Step 1: Write the proportion equation
   123,792 : 192,156 = 192,156 : x
2. Step 2: Convert to fraction form
   123,792/192,156 = 192,156/x
3. Step 3: Cross multiply
   123,792x = 192,156 × 192,156
4. Step 4: Simplify right side
   123,792x = 36,923,928,336
5. Step 5: Solve for x
   x = 36,923,928,336/123,792
6. Step 6: Final answer
   x = 298,273.95