Finding the Third Proportional to 89,568 and 138,096

Step by Step Solution

1. Step 1: Write the proportion equation
   89,568 : 138,096 = 138,096 : x
2. Step 2: Convert to fraction form
   89,568/138,096 = 138,096/x
3. Step 3: Cross multiply
   89,568x = 138,096 × 138,096
4. Step 4: Simplify right side
   89,568x = 19,070,505,216
5. Step 5: Solve for x
   x = 19,070,505,216/89,568
6. Step 6: Final answer
   x = 212,916.50