Finding the Third Proportional to 458 and 498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   458 : 498.50 = 498.50 : x
2. Step 2: Convert to fraction form
   458/498.50 = 498.50/x
3. Step 3: Cross multiply
   458x = 498.50 × 498.50
4. Step 4: Simplify right side
   458x = 248,502.25
5. Step 5: Solve for x
   x = 248,502.25/458
6. Step 6: Final answer
   x = 542.58