Finding the Third Proportional to 233.06 and 505.31

Step by Step Solution

1. Step 1: Write the proportion equation
   233.06 : 505.31 = 505.31 : x
2. Step 2: Convert to fraction form
   233.06/505.31 = 505.31/x
3. Step 3: Cross multiply
   233.06x = 505.31 × 505.31
4. Step 4: Simplify right side
   233.06x = 255,340.72
5. Step 5: Solve for x
   x = 255,340.72/233.06
6. Step 6: Final answer
   x = 1,095.59