Finding the Third Proportional to 106.94 and 233.31

Step by Step Solution

1. Step 1: Write the proportion equation
   106.94 : 233.31 = 233.31 : x
2. Step 2: Convert to fraction form
   106.94/233.31 = 233.31/x
3. Step 3: Cross multiply
   106.94x = 233.31 × 233.31
4. Step 4: Simplify right side
   106.94x = 54,434.72
5. Step 5: Solve for x
   x = 54,434.72/106.94
6. Step 6: Final answer
   x = 509.03