Finding the Third Proportional to 51,177 and 111,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,177 : 111,094.50 = 111,094.50 : x
2. Step 2: Convert to fraction form
   51,177/111,094.50 = 111,094.50/x
3. Step 3: Cross multiply
   51,177x = 111,094.50 × 111,094.50
4. Step 4: Simplify right side
   51,177x = 12,341,987,930.25
5. Step 5: Solve for x
   x = 12,341,987,930.25/51,177
6. Step 6: Final answer
   x = 241,162.79