Finding the Third Proportional to 51,689 and 111,631

Step by Step Solution

1. Step 1: Write the proportion equation
   51,689 : 111,631 = 111,631 : x
2. Step 2: Convert to fraction form
   51,689/111,631 = 111,631/x
3. Step 3: Cross multiply
   51,689x = 111,631 × 111,631
4. Step 4: Simplify right side
   51,689x = 12,461,480,161
5. Step 5: Solve for x
   x = 12,461,480,161/51,689
6. Step 6: Final answer
   x = 241,085.73