Finding the Third Proportional to 51,178 and 111,098

Step by Step Solution

1. Step 1: Write the proportion equation
   51,178 : 111,098 = 111,098 : x
2. Step 2: Convert to fraction form
   51,178/111,098 = 111,098/x
3. Step 3: Cross multiply
   51,178x = 111,098 × 111,098
4. Step 4: Simplify right side
   51,178x = 12,342,765,604
5. Step 5: Solve for x
   x = 12,342,765,604/51,178
6. Step 6: Final answer
   x = 241,173.27