Finding the Third Proportional to 310.69 and 675.38

Step by Step Solution

1. Step 1: Write the proportion equation
   310.69 : 675.38 = 675.38 : x
2. Step 2: Convert to fraction form
   310.69/675.38 = 675.38/x
3. Step 3: Cross multiply
   310.69x = 675.38 × 675.38
4. Step 4: Simplify right side
   310.69x = 456,131.39
5. Step 5: Solve for x
   x = 456,131.39/310.69
6. Step 6: Final answer
   x = 1,468.14