Finding the Third Proportional to 96.45 and 205.72

Step by Step Solution

1. Step 1: Write the proportion equation
   96.45 : 205.72 = 205.72 : x
2. Step 2: Convert to fraction form
   96.45/205.72 = 205.72/x
3. Step 3: Cross multiply
   96.45x = 205.72 × 205.72
4. Step 4: Simplify right side
   96.45x = 42,319.40
5. Step 5: Solve for x
   x = 42,319.40/96.45
6. Step 6: Final answer
   x = 438.77