Finding the Third Proportional to 83,680 and 128,192

Step by Step Solution

1. Step 1: Write the proportion equation
   83,680 : 128,192 = 128,192 : x
2. Step 2: Convert to fraction form
   83,680/128,192 = 128,192/x
3. Step 3: Cross multiply
   83,680x = 128,192 × 128,192
4. Step 4: Simplify right side
   83,680x = 16,433,188,864
5. Step 5: Solve for x
   x = 16,433,188,864/83,680
6. Step 6: Final answer
   x = 196,381.32