Finding the Third Proportional to 54,682 and 89,289

Step by Step Solution

1. Step 1: Write the proportion equation
   54,682 : 89,289 = 89,289 : x
2. Step 2: Convert to fraction form
   54,682/89,289 = 89,289/x
3. Step 3: Cross multiply
   54,682x = 89,289 × 89,289
4. Step 4: Simplify right side
   54,682x = 7,972,525,521
5. Step 5: Solve for x
   x = 7,972,525,521/54,682
6. Step 6: Final answer
   x = 145,797.99