Finding the Third Proportional to 144,990 and 204,174

Step by Step Solution

1. Step 1: Write the proportion equation
   144,990 : 204,174 = 204,174 : x
2. Step 2: Convert to fraction form
   144,990/204,174 = 204,174/x
3. Step 3: Cross multiply
   144,990x = 204,174 × 204,174
4. Step 4: Simplify right side
   144,990x = 41,687,022,276
5. Step 5: Solve for x
   x = 41,687,022,276/144,990
6. Step 6: Final answer
   x = 287,516.53