Finding the Third Proportional to 89,024 and 137,568

Step by Step Solution

1. Step 1: Write the proportion equation
   89,024 : 137,568 = 137,568 : x
2. Step 2: Convert to fraction form
   89,024/137,568 = 137,568/x
3. Step 3: Cross multiply
   89,024x = 137,568 × 137,568
4. Step 4: Simplify right side
   89,024x = 18,924,954,624
5. Step 5: Solve for x
   x = 18,924,954,624/89,024
6. Step 6: Final answer
   x = 212,582.61