Finding the Third Proportional to 49,890 and 109,176

Step by Step Solution

1. Step 1: Write the proportion equation
   49,890 : 109,176 = 109,176 : x
2. Step 2: Convert to fraction form
   49,890/109,176 = 109,176/x
3. Step 3: Cross multiply
   49,890x = 109,176 × 109,176
4. Step 4: Simplify right side
   49,890x = 11,919,398,976
5. Step 5: Solve for x
   x = 11,919,398,976/49,890
6. Step 6: Final answer
   x = 238,913.59