Finding the Third Proportional to 319.78 and 760.69

Step by Step Solution

1. Step 1: Write the proportion equation
   319.78 : 760.69 = 760.69 : x
2. Step 2: Convert to fraction form
   319.78/760.69 = 760.69/x
3. Step 3: Cross multiply
   319.78x = 760.69 × 760.69
4. Step 4: Simplify right side
   319.78x = 578,645.47
5. Step 5: Solve for x
   x = 578,645.47/319.78
6. Step 6: Final answer
   x = 1,809.50