Finding the Third Proportional to 140.91 and 200.16

Step by Step Solution

1. Step 1: Write the proportion equation
   140.91 : 200.16 = 200.16 : x
2. Step 2: Convert to fraction form
   140.91/200.16 = 200.16/x
3. Step 3: Cross multiply
   140.91x = 200.16 × 200.16
4. Step 4: Simplify right side
   140.91x = 40,062.52
5. Step 5: Solve for x
   x = 40,062.52/140.91
6. Step 6: Final answer
   x = 284.32