Finding the Third Proportional to 357.69 and 783.69

Step by Step Solution

1. Step 1: Write the proportion equation
   357.69 : 783.69 = 783.69 : x
2. Step 2: Convert to fraction form
   357.69/783.69 = 783.69/x
3. Step 3: Cross multiply
   357.69x = 783.69 × 783.69
4. Step 4: Simplify right side
   357.69x = 614,166.10
5. Step 5: Solve for x
   x = 614,166.10/357.69
6. Step 6: Final answer
   x = 1,717.05