Finding the Third Proportional to 213.47 and 503.72

Step by Step Solution

1. Step 1: Write the proportion equation
   213.47 : 503.72 = 503.72 : x
2. Step 2: Convert to fraction form
   213.47/503.72 = 503.72/x
3. Step 3: Cross multiply
   213.47x = 503.72 × 503.72
4. Step 4: Simplify right side
   213.47x = 253,732.58
5. Step 5: Solve for x
   x = 253,732.58/213.47
6. Step 6: Final answer
   x = 1,188.62