Finding the Third Proportional to 54,180 and 112,686

Step by Step Solution

1. Step 1: Write the proportion equation
   54,180 : 112,686 = 112,686 : x
2. Step 2: Convert to fraction form
   54,180/112,686 = 112,686/x
3. Step 3: Cross multiply
   54,180x = 112,686 × 112,686
4. Step 4: Simplify right side
   54,180x = 12,698,134,596
5. Step 5: Solve for x
   x = 12,698,134,596/54,180
6. Step 6: Final answer
   x = 234,369.41