Finding the Third Proportional to 116,678 and 254,474

Step by Step Solution

1. Step 1: Write the proportion equation
   116,678 : 254,474 = 254,474 : x
2. Step 2: Convert to fraction form
   116,678/254,474 = 254,474/x
3. Step 3: Cross multiply
   116,678x = 254,474 × 254,474
4. Step 4: Simplify right side
   116,678x = 64,757,016,676
5. Step 5: Solve for x
   x = 64,757,016,676/116,678
6. Step 6: Final answer
   x = 555,006.23