Finding the Third Proportional to 49,846 and 108,980

Step by Step Solution

1. Step 1: Write the proportion equation
   49,846 : 108,980 = 108,980 : x
2. Step 2: Convert to fraction form
   49,846/108,980 = 108,980/x
3. Step 3: Cross multiply
   49,846x = 108,980 × 108,980
4. Step 4: Simplify right side
   49,846x = 11,876,640,400
5. Step 5: Solve for x
   x = 11,876,640,400/49,846
6. Step 6: Final answer
   x = 238,266.67