Finding the Third Proportional to 86.63 and 205.59

Step by Step Solution

1. Step 1: Write the proportion equation
   86.63 : 205.59 = 205.59 : x
2. Step 2: Convert to fraction form
   86.63/205.59 = 205.59/x
3. Step 3: Cross multiply
   86.63x = 205.59 × 205.59
4. Step 4: Simplify right side
   86.63x = 42,268.79
5. Step 5: Solve for x
   x = 42,268.79/86.63
6. Step 6: Final answer
   x = 487.95