Finding the Third Proportional to 142,871.50 and 195,916

Step by Step Solution

1. Step 1: Write the proportion equation
   142,871.50 : 195,916 = 195,916 : x
2. Step 2: Convert to fraction form
   142,871.50/195,916 = 195,916/x
3. Step 3: Cross multiply
   142,871.50x = 195,916 × 195,916
4. Step 4: Simplify right side
   142,871.50x = 38,383,079,056
5. Step 5: Solve for x
   x = 38,383,079,056/142,871.50
6. Step 6: Final answer
   x = 268,654.55