Finding the Third Proportional to 144,972 and 195,084

Step by Step Solution

1. Step 1: Write the proportion equation
   144,972 : 195,084 = 195,084 : x
2. Step 2: Convert to fraction form
   144,972/195,084 = 195,084/x
3. Step 3: Cross multiply
   144,972x = 195,084 × 195,084
4. Step 4: Simplify right side
   144,972x = 38,057,767,056
5. Step 5: Solve for x
   x = 38,057,767,056/144,972
6. Step 6: Final answer
   x = 262,518.05