Finding the Third Proportional to 235.83 and 366.89

Step by Step Solution

1. Step 1: Write the proportion equation
   235.83 : 366.89 = 366.89 : x
2. Step 2: Convert to fraction form
   235.83/366.89 = 366.89/x
3. Step 3: Cross multiply
   235.83x = 366.89 × 366.89
4. Step 4: Simplify right side
   235.83x = 134,608.73
5. Step 5: Solve for x
   x = 134,608.73/235.83
6. Step 6: Final answer
   x = 570.79