Finding the Third Proportional to 90,096 and 195,564

Step by Step Solution

1. Step 1: Write the proportion equation
   90,096 : 195,564 = 195,564 : x
2. Step 2: Convert to fraction form
   90,096/195,564 = 195,564/x
3. Step 3: Cross multiply
   90,096x = 195,564 × 195,564
4. Step 4: Simplify right side
   90,096x = 38,245,278,096
5. Step 5: Solve for x
   x = 38,245,278,096/90,096
6. Step 6: Final answer
   x = 424,494.74