Finding the Third Proportional to 89,108 and 195,388

Step by Step Solution

1. Step 1: Write the proportion equation
   89,108 : 195,388 = 195,388 : x
2. Step 2: Convert to fraction form
   89,108/195,388 = 195,388/x
3. Step 3: Cross multiply
   89,108x = 195,388 × 195,388
4. Step 4: Simplify right side
   89,108x = 38,176,470,544
5. Step 5: Solve for x
   x = 38,176,470,544/89,108
6. Step 6: Final answer
   x = 428,429.22