Finding the Third Proportional to 90,540 and 213,055

Step by Step Solution

1. Step 1: Write the proportion equation
   90,540 : 213,055 = 213,055 : x
2. Step 2: Convert to fraction form
   90,540/213,055 = 213,055/x
3. Step 3: Cross multiply
   90,540x = 213,055 × 213,055
4. Step 4: Simplify right side
   90,540x = 45,392,433,025
5. Step 5: Solve for x
   x = 45,392,433,025/90,540
6. Step 6: Final answer
   x = 501,352.25