Finding the Third Proportional to 89,565 and 195,504

Step by Step Solution

1. Step 1: Write the proportion equation
   89,565 : 195,504 = 195,504 : x
2. Step 2: Convert to fraction form
   89,565/195,504 = 195,504/x
3. Step 3: Cross multiply
   89,565x = 195,504 × 195,504
4. Step 4: Simplify right side
   89,565x = 38,221,814,016
5. Step 5: Solve for x
   x = 38,221,814,016/89,565
6. Step 6: Final answer
   x = 426,749.44