Finding the Third Proportional to 216,072 and 327,089.25

Step by Step Solution

1. Step 1: Write the proportion equation
   216,072 : 327,089.25 = 327,089.25 : x
2. Step 2: Convert to fraction form
   216,072/327,089.25 = 327,089.25/x
3. Step 3: Cross multiply
   216,072x = 327,089.25 × 327,089.25
4. Step 4: Simplify right side
   216,072x = 106,987,377,465.56
5. Step 5: Solve for x
   x = 106,987,377,465.56/216,072
6. Step 6: Final answer
   x = 495,146.88