Finding the Third Proportional to 51,809 and 111,889

Step by Step Solution

1. Step 1: Write the proportion equation
   51,809 : 111,889 = 111,889 : x
2. Step 2: Convert to fraction form
   51,809/111,889 = 111,889/x
3. Step 3: Cross multiply
   51,809x = 111,889 × 111,889
4. Step 4: Simplify right side
   51,809x = 12,519,148,321
5. Step 5: Solve for x
   x = 12,519,148,321/51,809
6. Step 6: Final answer
   x = 241,640.42