Finding the Third Proportional to 205.31 and 309.38

Step by Step Solution

1. Step 1: Write the proportion equation
   205.31 : 309.38 = 309.38 : x
2. Step 2: Convert to fraction form
   205.31/309.38 = 309.38/x
3. Step 3: Cross multiply
   205.31x = 309.38 × 309.38
4. Step 4: Simplify right side
   205.31x = 95,712.89
5. Step 5: Solve for x
   x = 95,712.89/205.31
6. Step 6: Final answer
   x = 466.18