Finding the Third Proportional to 144,182 and 192,864

Step by Step Solution

1. Step 1: Write the proportion equation
   144,182 : 192,864 = 192,864 : x
2. Step 2: Convert to fraction form
   144,182/192,864 = 192,864/x
3. Step 3: Cross multiply
   144,182x = 192,864 × 192,864
4. Step 4: Simplify right side
   144,182x = 37,196,522,496
5. Step 5: Solve for x
   x = 37,196,522,496/144,182
6. Step 6: Final answer
   x = 257,983.12