Finding the Third Proportional to 144,976 and 204,162

Step by Step Solution

1. Step 1: Write the proportion equation
   144,976 : 204,162 = 204,162 : x
2. Step 2: Convert to fraction form
   144,976/204,162 = 204,162/x
3. Step 3: Cross multiply
   144,976x = 204,162 × 204,162
4. Step 4: Simplify right side
   144,976x = 41,682,122,244
5. Step 5: Solve for x
   x = 41,682,122,244/144,976
6. Step 6: Final answer
   x = 287,510.50