Finding the Third Proportional to 43,778 and 105,546

Step by Step Solution

1. Step 1: Write the proportion equation
   43,778 : 105,546 = 105,546 : x
2. Step 2: Convert to fraction form
   43,778/105,546 = 105,546/x
3. Step 3: Cross multiply
   43,778x = 105,546 × 105,546
4. Step 4: Simplify right side
   43,778x = 11,139,958,116
5. Step 5: Solve for x
   x = 11,139,958,116/43,778
6. Step 6: Final answer
   x = 254,464.76