Finding the Third Proportional to 185.25 and 391.59

Step by Step Solution

1. Step 1: Write the proportion equation
   185.25 : 391.59 = 391.59 : x
2. Step 2: Convert to fraction form
   185.25/391.59 = 391.59/x
3. Step 3: Cross multiply
   185.25x = 391.59 × 391.59
4. Step 4: Simplify right side
   185.25x = 153,345.67
5. Step 5: Solve for x
   x = 153,345.67/185.25
6. Step 6: Final answer
   x = 827.78