Finding the Third Proportional to 54,680 and 89,286

Step by Step Solution

1. Step 1: Write the proportion equation
   54,680 : 89,286 = 89,286 : x
2. Step 2: Convert to fraction form
   54,680/89,286 = 89,286/x
3. Step 3: Cross multiply
   54,680x = 89,286 × 89,286
4. Step 4: Simplify right side
   54,680x = 7,971,989,796
5. Step 5: Solve for x
   x = 7,971,989,796/54,680
6. Step 6: Final answer
   x = 145,793.52