Finding the Third Proportional to 144,920 and 195,004

Step by Step Solution

1. Step 1: Write the proportion equation
   144,920 : 195,004 = 195,004 : x
2. Step 2: Convert to fraction form
   144,920/195,004 = 195,004/x
3. Step 3: Cross multiply
   144,920x = 195,004 × 195,004
4. Step 4: Simplify right side
   144,920x = 38,026,560,016
5. Step 5: Solve for x
   x = 38,026,560,016/144,920
6. Step 6: Final answer
   x = 262,396.91