Finding the Third Proportional to 54,836 and 113,978

Step by Step Solution

1. Step 1: Write the proportion equation
   54,836 : 113,978 = 113,978 : x
2. Step 2: Convert to fraction form
   54,836/113,978 = 113,978/x
3. Step 3: Cross multiply
   54,836x = 113,978 × 113,978
4. Step 4: Simplify right side
   54,836x = 12,990,984,484
5. Step 5: Solve for x
   x = 12,990,984,484/54,836
6. Step 6: Final answer
   x = 236,906.13