Finding the Third Proportional to 50,138 and 109,096

Step by Step Solution

1. Step 1: Write the proportion equation
   50,138 : 109,096 = 109,096 : x
2. Step 2: Convert to fraction form
   50,138/109,096 = 109,096/x
3. Step 3: Cross multiply
   50,138x = 109,096 × 109,096
4. Step 4: Simplify right side
   50,138x = 11,901,937,216
5. Step 5: Solve for x
   x = 11,901,937,216/50,138
6. Step 6: Final answer
   x = 237,383.57