Finding the Third Proportional to 233.38 and 460.38

Step by Step Solution

1. Step 1: Write the proportion equation
   233.38 : 460.38 = 460.38 : x
2. Step 2: Convert to fraction form
   233.38/460.38 = 460.38/x
3. Step 3: Cross multiply
   233.38x = 460.38 × 460.38
4. Step 4: Simplify right side
   233.38x = 211,945.14
5. Step 5: Solve for x
   x = 211,945.14/233.38
6. Step 6: Final answer
   x = 908.17