Finding the Third Proportional to 90,622 and 213,216

Step by Step Solution

1. Step 1: Write the proportion equation
   90,622 : 213,216 = 213,216 : x
2. Step 2: Convert to fraction form
   90,622/213,216 = 213,216/x
3. Step 3: Cross multiply
   90,622x = 213,216 × 213,216
4. Step 4: Simplify right side
   90,622x = 45,461,062,656
5. Step 5: Solve for x
   x = 45,461,062,656/90,622
6. Step 6: Final answer
   x = 501,655.92