Finding the Third Proportional to 89,568 and 195,510

Step by Step Solution

1. Step 1: Write the proportion equation
   89,568 : 195,510 = 195,510 : x
2. Step 2: Convert to fraction form
   89,568/195,510 = 195,510/x
3. Step 3: Cross multiply
   89,568x = 195,510 × 195,510
4. Step 4: Simplify right side
   89,568x = 38,224,160,100
5. Step 5: Solve for x
   x = 38,224,160,100/89,568
6. Step 6: Final answer
   x = 426,761.34