Finding the Third Proportional to 49,928 and 109,234

Step by Step Solution

1. Step 1: Write the proportion equation
   49,928 : 109,234 = 109,234 : x
2. Step 2: Convert to fraction form
   49,928/109,234 = 109,234/x
3. Step 3: Cross multiply
   49,928x = 109,234 × 109,234
4. Step 4: Simplify right side
   49,928x = 11,932,066,756
5. Step 5: Solve for x
   x = 11,932,066,756/49,928
6. Step 6: Final answer
   x = 238,985.47