Finding the Third Proportional to 54,952 and 117,678

Step by Step Solution

1. Step 1: Write the proportion equation
   54,952 : 117,678 = 117,678 : x
2. Step 2: Convert to fraction form
   54,952/117,678 = 117,678/x
3. Step 3: Cross multiply
   54,952x = 117,678 × 117,678
4. Step 4: Simplify right side
   54,952x = 13,848,111,684
5. Step 5: Solve for x
   x = 13,848,111,684/54,952
6. Step 6: Final answer
   x = 252,003.78