Finding the Third Proportional to 458.88 and 498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   458.88 : 498.25 = 498.25 : x
2. Step 2: Convert to fraction form
   458.88/498.25 = 498.25/x
3. Step 3: Cross multiply
   458.88x = 498.25 × 498.25
4. Step 4: Simplify right side
   458.88x = 248,253.06
5. Step 5: Solve for x
   x = 248,253.06/458.88
6. Step 6: Final answer
   x = 541.00