Finding the Third Proportional to 144,972 and 204,156

Step by Step Solution

1. Step 1: Write the proportion equation
   144,972 : 204,156 = 204,156 : x
2. Step 2: Convert to fraction form
   144,972/204,156 = 204,156/x
3. Step 3: Cross multiply
   144,972x = 204,156 × 204,156
4. Step 4: Simplify right side
   144,972x = 41,679,672,336
5. Step 5: Solve for x
   x = 41,679,672,336/144,972
6. Step 6: Final answer
   x = 287,501.53