Finding the Third Proportional to 54,648 and 80,124

Step by Step Solution

1. Step 1: Write the proportion equation
   54,648 : 80,124 = 80,124 : x
2. Step 2: Convert to fraction form
   54,648/80,124 = 80,124/x
3. Step 3: Cross multiply
   54,648x = 80,124 × 80,124
4. Step 4: Simplify right side
   54,648x = 6,419,855,376
5. Step 5: Solve for x
   x = 6,419,855,376/54,648
6. Step 6: Final answer
   x = 117,476.49