Finding the Third Proportional to 89,891 and 195,470

Step by Step Solution

1. Step 1: Write the proportion equation
   89,891 : 195,470 = 195,470 : x
2. Step 2: Convert to fraction form
   89,891/195,470 = 195,470/x
3. Step 3: Cross multiply
   89,891x = 195,470 × 195,470
4. Step 4: Simplify right side
   89,891x = 38,208,520,900
5. Step 5: Solve for x
   x = 38,208,520,900/89,891
6. Step 6: Final answer
   x = 425,053.91