Finding the Third Proportional to 99,728 and 216,072

Step by Step Solution

1. Step 1: Write the proportion equation
   99,728 : 216,072 = 216,072 : x
2. Step 2: Convert to fraction form
   99,728/216,072 = 216,072/x
3. Step 3: Cross multiply
   99,728x = 216,072 × 216,072
4. Step 4: Simplify right side
   99,728x = 46,687,109,184
5. Step 5: Solve for x
   x = 46,687,109,184/99,728
6. Step 6: Final answer
   x = 468,144.44