Finding the Third Proportional to 51,194 and 111,667

Step by Step Solution

1. Step 1: Write the proportion equation
   51,194 : 111,667 = 111,667 : x
2. Step 2: Convert to fraction form
   51,194/111,667 = 111,667/x
3. Step 3: Cross multiply
   51,194x = 111,667 × 111,667
4. Step 4: Simplify right side
   51,194x = 12,469,518,889
5. Step 5: Solve for x
   x = 12,469,518,889/51,194
6. Step 6: Final answer
   x = 243,573.83