Finding the Third Proportional to 89,398 and 195,866

Step by Step Solution

1. Step 1: Write the proportion equation
   89,398 : 195,866 = 195,866 : x
2. Step 2: Convert to fraction form
   89,398/195,866 = 195,866/x
3. Step 3: Cross multiply
   89,398x = 195,866 × 195,866
4. Step 4: Simplify right side
   89,398x = 38,363,489,956
5. Step 5: Solve for x
   x = 38,363,489,956/89,398
6. Step 6: Final answer
   x = 429,131.41