Finding the Third Proportional to 102,728 and 213,520

Step by Step Solution

1. Step 1: Write the proportion equation
   102,728 : 213,520 = 213,520 : x
2. Step 2: Convert to fraction form
   102,728/213,520 = 213,520/x
3. Step 3: Cross multiply
   102,728x = 213,520 × 213,520
4. Step 4: Simplify right side
   102,728x = 45,590,790,400
5. Step 5: Solve for x
   x = 45,590,790,400/102,728
6. Step 6: Final answer
   x = 443,801.01