Finding the Third Proportional to 54,474 and 114,456

Step by Step Solution

1. Step 1: Write the proportion equation
   54,474 : 114,456 = 114,456 : x
2. Step 2: Convert to fraction form
   54,474/114,456 = 114,456/x
3. Step 3: Cross multiply
   54,474x = 114,456 × 114,456
4. Step 4: Simplify right side
   54,474x = 13,100,175,936
5. Step 5: Solve for x
   x = 13,100,175,936/54,474
6. Step 6: Final answer
   x = 240,484.93