Finding the Third Proportional to 65.81 and 140.48

Step by Step Solution

1. Step 1: Write the proportion equation
   65.81 : 140.48 = 140.48 : x
2. Step 2: Convert to fraction form
   65.81/140.48 = 140.48/x
3. Step 3: Cross multiply
   65.81x = 140.48 × 140.48
4. Step 4: Simplify right side
   65.81x = 19,735.86
5. Step 5: Solve for x
   x = 19,735.86/65.81
6. Step 6: Final answer
   x = 299.88