Finding the Third Proportional to 50,234 and 116,809

Step by Step Solution

1. Step 1: Write the proportion equation
   50,234 : 116,809 = 116,809 : x
2. Step 2: Convert to fraction form
   50,234/116,809 = 116,809/x
3. Step 3: Cross multiply
   50,234x = 116,809 × 116,809
4. Step 4: Simplify right side
   50,234x = 13,644,342,481
5. Step 5: Solve for x
   x = 13,644,342,481/50,234
6. Step 6: Final answer
   x = 271,615.69