Finding the Third Proportional to 146.81 and 199.69

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 199.69 = 199.69 : x
2. Step 2: Convert to fraction form
   146.81/199.69 = 199.69/x
3. Step 3: Cross multiply
   146.81x = 199.69 × 199.69
4. Step 4: Simplify right side
   146.81x = 39,875.10
5. Step 5: Solve for x
   x = 39,875.10/146.81
6. Step 6: Final answer
   x = 271.61