Finding the Third Proportional to 65.81 and 142.59

Step by Step Solution

1. Step 1: Write the proportion equation
   65.81 : 142.59 = 142.59 : x
2. Step 2: Convert to fraction form
   65.81/142.59 = 142.59/x
3. Step 3: Cross multiply
   65.81x = 142.59 × 142.59
4. Step 4: Simplify right side
   65.81x = 20,332.98
5. Step 5: Solve for x
   x = 20,332.98/65.81
6. Step 6: Final answer
   x = 308.95