Finding the Third Proportional to 585.56 and 835.31

Step by Step Solution

1. Step 1: Write the proportion equation
   585.56 : 835.31 = 835.31 : x
2. Step 2: Convert to fraction form
   585.56/835.31 = 835.31/x
3. Step 3: Cross multiply
   585.56x = 835.31 × 835.31
4. Step 4: Simplify right side
   585.56x = 697,746.97
5. Step 5: Solve for x
   x = 697,746.97/585.56
6. Step 6: Final answer
   x = 1,191.58