Finding the Third Proportional to 460.13 and 498.09

Step by Step Solution

1. Step 1: Write the proportion equation
   460.13 : 498.09 = 498.09 : x
2. Step 2: Convert to fraction form
   460.13/498.09 = 498.09/x
3. Step 3: Cross multiply
   460.13x = 498.09 × 498.09
4. Step 4: Simplify right side
   460.13x = 248,097.38
5. Step 5: Solve for x
   x = 248,097.38/460.13
6. Step 6: Final answer
   x = 539.20