Finding the Third Proportional to 99,728 and 213,468

Step by Step Solution

1. Step 1: Write the proportion equation
   99,728 : 213,468 = 213,468 : x
2. Step 2: Convert to fraction form
   99,728/213,468 = 213,468/x
3. Step 3: Cross multiply
   99,728x = 213,468 × 213,468
4. Step 4: Simplify right side
   99,728x = 45,568,587,024
5. Step 5: Solve for x
   x = 45,568,587,024/99,728
6. Step 6: Final answer
   x = 456,928.72