Finding the Third Proportional to 89,755 and 195,268

Step by Step Solution

1. Step 1: Write the proportion equation
   89,755 : 195,268 = 195,268 : x
2. Step 2: Convert to fraction form
   89,755/195,268 = 195,268/x
3. Step 3: Cross multiply
   89,755x = 195,268 × 195,268
4. Step 4: Simplify right side
   89,755x = 38,129,591,824
5. Step 5: Solve for x
   x = 38,129,591,824/89,755
6. Step 6: Final answer
   x = 424,818.58