Finding the Third Proportional to 86.06 and 200.16

Step by Step Solution

1. Step 1: Write the proportion equation
   86.06 : 200.16 = 200.16 : x
2. Step 2: Convert to fraction form
   86.06/200.16 = 200.16/x
3. Step 3: Cross multiply
   86.06x = 200.16 × 200.16
4. Step 4: Simplify right side
   86.06x = 40,062.52
5. Step 5: Solve for x
   x = 40,062.52/86.06
6. Step 6: Final answer
   x = 465.51