Finding the Third Proportional to 54,692 and 89,302

Step by Step Solution

1. Step 1: Write the proportion equation
   54,692 : 89,302 = 89,302 : x
2. Step 2: Convert to fraction form
   54,692/89,302 = 89,302/x
3. Step 3: Cross multiply
   54,692x = 89,302 × 89,302
4. Step 4: Simplify right side
   54,692x = 7,974,847,204
5. Step 5: Solve for x
   x = 7,974,847,204/54,692
6. Step 6: Final answer
   x = 145,813.78