Finding the Third Proportional to 49,869 and 109,122

Step by Step Solution

1. Step 1: Write the proportion equation
   49,869 : 109,122 = 109,122 : x
2. Step 2: Convert to fraction form
   49,869/109,122 = 109,122/x
3. Step 3: Cross multiply
   49,869x = 109,122 × 109,122
4. Step 4: Simplify right side
   49,869x = 11,907,610,884
5. Step 5: Solve for x
   x = 11,907,610,884/49,869
6. Step 6: Final answer
   x = 238,777.82