Finding the Third Proportional to 451.83 and 847.34

Step by Step Solution

1. Step 1: Write the proportion equation
   451.83 : 847.34 = 847.34 : x
2. Step 2: Convert to fraction form
   451.83/847.34 = 847.34/x
3. Step 3: Cross multiply
   451.83x = 847.34 × 847.34
4. Step 4: Simplify right side
   451.83x = 717,978.19
5. Step 5: Solve for x
   x = 717,978.19/451.83
6. Step 6: Final answer
   x = 1,589.05