Finding the Third Proportional to 195,564 and 412,144

Step by Step Solution

1. Step 1: Write the proportion equation
   195,564 : 412,144 = 412,144 : x
2. Step 2: Convert to fraction form
   195,564/412,144 = 412,144/x
3. Step 3: Cross multiply
   195,564x = 412,144 × 412,144
4. Step 4: Simplify right side
   195,564x = 169,862,676,736
5. Step 5: Solve for x
   x = 169,862,676,736/195,564
6. Step 6: Final answer
   x = 868,578.45