Finding the Third Proportional to 89,256 and 195,762

Step by Step Solution

1. Step 1: Write the proportion equation
   89,256 : 195,762 = 195,762 : x
2. Step 2: Convert to fraction form
   89,256/195,762 = 195,762/x
3. Step 3: Cross multiply
   89,256x = 195,762 × 195,762
4. Step 4: Simplify right side
   89,256x = 38,322,760,644
5. Step 5: Solve for x
   x = 38,322,760,644/89,256
6. Step 6: Final answer
   x = 429,357.81