Finding the Third Proportional to 95,304 and 209,040

Step by Step Solution

1. Step 1: Write the proportion equation
   95,304 : 209,040 = 209,040 : x
2. Step 2: Convert to fraction form
   95,304/209,040 = 209,040/x
3. Step 3: Cross multiply
   95,304x = 209,040 × 209,040
4. Step 4: Simplify right side
   95,304x = 43,697,721,600
5. Step 5: Solve for x
   x = 43,697,721,600/95,304
6. Step 6: Final answer
   x = 458,508.79