Finding the Third Proportional to 144,851 and 194,920

Step by Step Solution

1. Step 1: Write the proportion equation
   144,851 : 194,920 = 194,920 : x
2. Step 2: Convert to fraction form
   144,851/194,920 = 194,920/x
3. Step 3: Cross multiply
   144,851x = 194,920 × 194,920
4. Step 4: Simplify right side
   144,851x = 37,993,806,400
5. Step 5: Solve for x
   x = 37,993,806,400/144,851
6. Step 6: Final answer
   x = 262,295.78