Finding the Third Proportional to 89,569 and 195,512

Step by Step Solution

1. Step 1: Write the proportion equation
   89,569 : 195,512 = 195,512 : x
2. Step 2: Convert to fraction form
   89,569/195,512 = 195,512/x
3. Step 3: Cross multiply
   89,569x = 195,512 × 195,512
4. Step 4: Simplify right side
   89,569x = 38,224,942,144
5. Step 5: Solve for x
   x = 38,224,942,144/89,569
6. Step 6: Final answer
   x = 426,765.31