Finding the Third Proportional to 106.50 and 233.38

Step by Step Solution

1. Step 1: Write the proportion equation
   106.50 : 233.38 = 233.38 : x
2. Step 2: Convert to fraction form
   106.50/233.38 = 233.38/x
3. Step 3: Cross multiply
   106.50x = 233.38 × 233.38
4. Step 4: Simplify right side
   106.50x = 54,463.89
5. Step 5: Solve for x
   x = 54,463.89/106.50
6. Step 6: Final answer
   x = 511.40