Finding the Third Proportional to 50,851 and 105,238

Step by Step Solution

1. Step 1: Write the proportion equation
   50,851 : 105,238 = 105,238 : x
2. Step 2: Convert to fraction form
   50,851/105,238 = 105,238/x
3. Step 3: Cross multiply
   50,851x = 105,238 × 105,238
4. Step 4: Simplify right side
   50,851x = 11,075,036,644
5. Step 5: Solve for x
   x = 11,075,036,644/50,851
6. Step 6: Final answer
   x = 217,793.88