Finding the Third Proportional to 391.50 and 585.56

Step by Step Solution

1. Step 1: Write the proportion equation
   391.50 : 585.56 = 585.56 : x
2. Step 2: Convert to fraction form
   391.50/585.56 = 585.56/x
3. Step 3: Cross multiply
   391.50x = 585.56 × 585.56
4. Step 4: Simplify right side
   391.50x = 342,883.44
5. Step 5: Solve for x
   x = 342,883.44/391.50
6. Step 6: Final answer
   x = 875.82