Finding the Third Proportional to 89,458 and 195,169

Step by Step Solution

1. Step 1: Write the proportion equation
   89,458 : 195,169 = 195,169 : x
2. Step 2: Convert to fraction form
   89,458/195,169 = 195,169/x
3. Step 3: Cross multiply
   89,458x = 195,169 × 195,169
4. Step 4: Simplify right side
   89,458x = 38,090,938,561
5. Step 5: Solve for x
   x = 38,090,938,561/89,458
6. Step 6: Final answer
   x = 425,796.89