Finding the Third Proportional to 233.03 and 498.46

Step by Step Solution

1. Step 1: Write the proportion equation
   233.03 : 498.46 = 498.46 : x
2. Step 2: Convert to fraction form
   233.03/498.46 = 498.46/x
3. Step 3: Cross multiply
   233.03x = 498.46 × 498.46
4. Step 4: Simplify right side
   233.03x = 248,460.87
5. Step 5: Solve for x
   x = 248,460.87/233.03
6. Step 6: Final answer
   x = 1,066.20