Finding the Third Proportional to 51,404 and 110,680

Step by Step Solution

1. Step 1: Write the proportion equation
   51,404 : 110,680 = 110,680 : x
2. Step 2: Convert to fraction form
   51,404/110,680 = 110,680/x
3. Step 3: Cross multiply
   51,404x = 110,680 × 110,680
4. Step 4: Simplify right side
   51,404x = 12,250,062,400
5. Step 5: Solve for x
   x = 12,250,062,400/51,404
6. Step 6: Final answer
   x = 238,309.52