Finding the Third Proportional to 144,186 and 192,870

Step by Step Solution

1. Step 1: Write the proportion equation
   144,186 : 192,870 = 192,870 : x
2. Step 2: Convert to fraction form
   144,186/192,870 = 192,870/x
3. Step 3: Cross multiply
   144,186x = 192,870 × 192,870
4. Step 4: Simplify right side
   144,186x = 37,198,836,900
5. Step 5: Solve for x
   x = 37,198,836,900/144,186
6. Step 6: Final answer
   x = 257,992.02