Finding the Third Proportional to 139.69 and 204.94

Step by Step Solution

1. Step 1: Write the proportion equation
   139.69 : 204.94 = 204.94 : x
2. Step 2: Convert to fraction form
   139.69/204.94 = 204.94/x
3. Step 3: Cross multiply
   139.69x = 204.94 × 204.94
4. Step 4: Simplify right side
   139.69x = 41,999.38
5. Step 5: Solve for x
   x = 41,999.38/139.69
6. Step 6: Final answer
   x = 300.67