Finding the Third Proportional to 105.94 and 233.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105.94 : 233.63 = 233.63 : x
2. Step 2: Convert to fraction form
   105.94/233.63 = 233.63/x
3. Step 3: Cross multiply
   105.94x = 233.63 × 233.63
4. Step 4: Simplify right side
   105.94x = 54,580.64
5. Step 5: Solve for x
   x = 54,580.64/105.94
6. Step 6: Final answer
   x = 515.22