Finding the Third Proportional to 139.22 and 205.03

Step by Step Solution

1. Step 1: Write the proportion equation
   139.22 : 205.03 = 205.03 : x
2. Step 2: Convert to fraction form
   139.22/205.03 = 205.03/x
3. Step 3: Cross multiply
   139.22x = 205.03 × 205.03
4. Step 4: Simplify right side
   139.22x = 42,037.81
5. Step 5: Solve for x
   x = 42,037.81/139.22
6. Step 6: Final answer
   x = 301.96