Finding the Third Proportional to 54,878 and 118,076

Step by Step Solution

1. Step 1: Write the proportion equation
   54,878 : 118,076 = 118,076 : x
2. Step 2: Convert to fraction form
   54,878/118,076 = 118,076/x
3. Step 3: Cross multiply
   54,878x = 118,076 × 118,076
4. Step 4: Simplify right side
   54,878x = 13,941,941,776
5. Step 5: Solve for x
   x = 13,941,941,776/54,878
6. Step 6: Final answer
   x = 254,053.39