Finding the Third Proportional to 233.06 and 441.38

Step by Step Solution

1. Step 1: Write the proportion equation
   233.06 : 441.38 = 441.38 : x
2. Step 2: Convert to fraction form
   233.06/441.38 = 441.38/x
3. Step 3: Cross multiply
   233.06x = 441.38 × 441.38
4. Step 4: Simplify right side
   233.06x = 194,811.89
5. Step 5: Solve for x
   x = 194,811.89/233.06
6. Step 6: Final answer
   x = 835.88