Finding the Third Proportional to 245.81 and 319.31

Step by Step Solution

1. Step 1: Write the proportion equation
   245.81 : 319.31 = 319.31 : x
2. Step 2: Convert to fraction form
   245.81/319.31 = 319.31/x
3. Step 3: Cross multiply
   245.81x = 319.31 × 319.31
4. Step 4: Simplify right side
   245.81x = 101,960.47
5. Step 5: Solve for x
   x = 101,960.47/245.81
6. Step 6: Final answer
   x = 414.79