Finding the Third Proportional to 54,678 and 89,283

Step by Step Solution

1. Step 1: Write the proportion equation
   54,678 : 89,283 = 89,283 : x
2. Step 2: Convert to fraction form
   54,678/89,283 = 89,283/x
3. Step 3: Cross multiply
   54,678x = 89,283 × 89,283
4. Step 4: Simplify right side
   54,678x = 7,971,454,089
5. Step 5: Solve for x
   x = 7,971,454,089/54,678
6. Step 6: Final answer
   x = 145,789.06