Finding the Third Proportional to 131,680 and 192,912

Step by Step Solution

1. Step 1: Write the proportion equation
   131,680 : 192,912 = 192,912 : x
2. Step 2: Convert to fraction form
   131,680/192,912 = 192,912/x
3. Step 3: Cross multiply
   131,680x = 192,912 × 192,912
4. Step 4: Simplify right side
   131,680x = 37,215,039,744
5. Step 5: Solve for x
   x = 37,215,039,744/131,680
6. Step 6: Final answer
   x = 282,617.25