Finding the Third Proportional to 213.47 and 498.80

Step by Step Solution

1. Step 1: Write the proportion equation
   213.47 : 498.80 = 498.80 : x
2. Step 2: Convert to fraction form
   213.47/498.80 = 498.80/x
3. Step 3: Cross multiply
   213.47x = 498.80 × 498.80
4. Step 4: Simplify right side
   213.47x = 248,798.32
5. Step 5: Solve for x
   x = 248,798.32/213.47
6. Step 6: Final answer
   x = 1,165.50