Finding the Third Proportional to 451.69 and 874.69

Step by Step Solution

1. Step 1: Write the proportion equation
   451.69 : 874.69 = 874.69 : x
2. Step 2: Convert to fraction form
   451.69/874.69 = 874.69/x
3. Step 3: Cross multiply
   451.69x = 874.69 × 874.69
4. Step 4: Simplify right side
   451.69x = 765,078.22
5. Step 5: Solve for x
   x = 765,078.22/451.69
6. Step 6: Final answer
   x = 1,693.82