Finding the Third Proportional to 95,648 and 137,568

Step by Step Solution

1. Step 1: Write the proportion equation
   95,648 : 137,568 = 137,568 : x
2. Step 2: Convert to fraction form
   95,648/137,568 = 137,568/x
3. Step 3: Cross multiply
   95,648x = 137,568 × 137,568
4. Step 4: Simplify right side
   95,648x = 18,924,954,624
5. Step 5: Solve for x
   x = 18,924,954,624/95,648
6. Step 6: Final answer
   x = 197,860.43