Finding the Third Proportional to 319.50 and 769.31

Step by Step Solution

1. Step 1: Write the proportion equation
   319.50 : 769.31 = 769.31 : x
2. Step 2: Convert to fraction form
   319.50/769.31 = 769.31/x
3. Step 3: Cross multiply
   319.50x = 769.31 × 769.31
4. Step 4: Simplify right side
   319.50x = 591,841.72
5. Step 5: Solve for x
   x = 591,841.72/319.50
6. Step 6: Final answer
   x = 1,852.40