Finding the Third Proportional to 49,922 and 109,096

Step by Step Solution

1. Step 1: Write the proportion equation
   49,922 : 109,096 = 109,096 : x
2. Step 2: Convert to fraction form
   49,922/109,096 = 109,096/x
3. Step 3: Cross multiply
   49,922x = 109,096 × 109,096
4. Step 4: Simplify right side
   49,922x = 11,901,937,216
5. Step 5: Solve for x
   x = 11,901,937,216/49,922
6. Step 6: Final answer
   x = 238,410.66