Finding the Third Proportional to 51,680 and 111,619

Step by Step Solution

1. Step 1: Write the proportion equation
   51,680 : 111,619 = 111,619 : x
2. Step 2: Convert to fraction form
   51,680/111,619 = 111,619/x
3. Step 3: Cross multiply
   51,680x = 111,619 × 111,619
4. Step 4: Simplify right side
   51,680x = 12,458,801,161
5. Step 5: Solve for x
   x = 12,458,801,161/51,680
6. Step 6: Final answer
   x = 241,075.87