Finding the Third Proportional to 584.56 and 886.69

Step by Step Solution

1. Step 1: Write the proportion equation
   584.56 : 886.69 = 886.69 : x
2. Step 2: Convert to fraction form
   584.56/886.69 = 886.69/x
3. Step 3: Cross multiply
   584.56x = 886.69 × 886.69
4. Step 4: Simplify right side
   584.56x = 786,214.72
5. Step 5: Solve for x
   x = 786,214.72/584.56
6. Step 6: Final answer
   x = 1,344.96