Finding the Third Proportional to 100.38 and 233.13

Step by Step Solution

1. Step 1: Write the proportion equation
   100.38 : 233.13 = 233.13 : x
2. Step 2: Convert to fraction form
   100.38/233.13 = 233.13/x
3. Step 3: Cross multiply
   100.38x = 233.13 × 233.13
4. Step 4: Simplify right side
   100.38x = 54,347.27
5. Step 5: Solve for x
   x = 54,347.27/100.38
6. Step 6: Final answer
   x = 541.44