Finding the Third Proportional to 89,688 and 195,096

Step by Step Solution

1. Step 1: Write the proportion equation
   89,688 : 195,096 = 195,096 : x
2. Step 2: Convert to fraction form
   89,688/195,096 = 195,096/x
3. Step 3: Cross multiply
   89,688x = 195,096 × 195,096
4. Step 4: Simplify right side
   89,688x = 38,062,449,216
5. Step 5: Solve for x
   x = 38,062,449,216/89,688
6. Step 6: Final answer
   x = 424,387.31