Finding the Third Proportional to 139.94 and 205.09

Step by Step Solution

1. Step 1: Write the proportion equation
   139.94 : 205.09 = 205.09 : x
2. Step 2: Convert to fraction form
   139.94/205.09 = 205.09/x
3. Step 3: Cross multiply
   139.94x = 205.09 × 205.09
4. Step 4: Simplify right side
   139.94x = 42,063.45
5. Step 5: Solve for x
   x = 42,063.45/139.94
6. Step 6: Final answer
   x = 300.59