Finding the Third Proportional to 451.83 and 704.32

Step by Step Solution

1. Step 1: Write the proportion equation
   451.83 : 704.32 = 704.32 : x
2. Step 2: Convert to fraction form
   451.83/704.32 = 704.32/x
3. Step 3: Cross multiply
   451.83x = 704.32 × 704.32
4. Step 4: Simplify right side
   451.83x = 496,067.10
5. Step 5: Solve for x
   x = 496,067.10/451.83
6. Step 6: Final answer
   x = 1,097.91