Finding the Third Proportional to 139.22 and 204.56

Step by Step Solution

1. Step 1: Write the proportion equation
   139.22 : 204.56 = 204.56 : x
2. Step 2: Convert to fraction form
   139.22/204.56 = 204.56/x
3. Step 3: Cross multiply
   139.22x = 204.56 × 204.56
4. Step 4: Simplify right side
   139.22x = 41,843.42
5. Step 5: Solve for x
   x = 41,843.42/139.22
6. Step 6: Final answer
   x = 300.56