Finding the Third Proportional to 233.30 and 504.46

Step by Step Solution

1. Step 1: Write the proportion equation
   233.30 : 504.46 = 504.46 : x
2. Step 2: Convert to fraction form
   233.30/504.46 = 504.46/x
3. Step 3: Cross multiply
   233.30x = 504.46 × 504.46
4. Step 4: Simplify right side
   233.30x = 254,476.90
5. Step 5: Solve for x
   x = 254,476.90/233.30
6. Step 6: Final answer
   x = 1,090.79