Finding the Third Proportional to 51,698 and 111,649

Step by Step Solution

1. Step 1: Write the proportion equation
   51,698 : 111,649 = 111,649 : x
2. Step 2: Convert to fraction form
   51,698/111,649 = 111,649/x
3. Step 3: Cross multiply
   51,698x = 111,649 × 111,649
4. Step 4: Simplify right side
   51,698x = 12,465,499,201
5. Step 5: Solve for x
   x = 12,465,499,201/51,698
6. Step 6: Final answer
   x = 241,121.50