Finding the Third Proportional to 217,920 and 300,096

Step by Step Solution

1. Step 1: Write the proportion equation
   217,920 : 300,096 = 300,096 : x
2. Step 2: Convert to fraction form
   217,920/300,096 = 300,096/x
3. Step 3: Cross multiply
   217,920x = 300,096 × 300,096
4. Step 4: Simplify right side
   217,920x = 90,057,609,216
5. Step 5: Solve for x
   x = 90,057,609,216/217,920
6. Step 6: Final answer
   x = 413,259.95