Finding the Third Proportional to 54,008 and 113,884

Step by Step Solution

1. Step 1: Write the proportion equation
   54,008 : 113,884 = 113,884 : x
2. Step 2: Convert to fraction form
   54,008/113,884 = 113,884/x
3. Step 3: Cross multiply
   54,008x = 113,884 × 113,884
4. Step 4: Simplify right side
   54,008x = 12,969,565,456
5. Step 5: Solve for x
   x = 12,969,565,456/54,008
6. Step 6: Final answer
   x = 240,141.56