Finding the Third Proportional to 96.47 and 205.59

Step by Step Solution

1. Step 1: Write the proportion equation
   96.47 : 205.59 = 205.59 : x
2. Step 2: Convert to fraction form
   96.47/205.59 = 205.59/x
3. Step 3: Cross multiply
   96.47x = 205.59 × 205.59
4. Step 4: Simplify right side
   96.47x = 42,268.79
5. Step 5: Solve for x
   x = 42,268.79/96.47
6. Step 6: Final answer
   x = 438.16