Finding the Third Proportional to 89,596 and 195,608

Step by Step Solution

1. Step 1: Write the proportion equation
   89,596 : 195,608 = 195,608 : x
2. Step 2: Convert to fraction form
   89,596/195,608 = 195,608/x
3. Step 3: Cross multiply
   89,596x = 195,608 × 195,608
4. Step 4: Simplify right side
   89,596x = 38,262,489,664
5. Step 5: Solve for x
   x = 38,262,489,664/89,596
6. Step 6: Final answer
   x = 427,055.78