Finding the Third Proportional to 50,538 and 107,236

Step by Step Solution

1. Step 1: Write the proportion equation
   50,538 : 107,236 = 107,236 : x
2. Step 2: Convert to fraction form
   50,538/107,236 = 107,236/x
3. Step 3: Cross multiply
   50,538x = 107,236 × 107,236
4. Step 4: Simplify right side
   50,538x = 11,499,559,696
5. Step 5: Solve for x
   x = 11,499,559,696/50,538
6. Step 6: Final answer
   x = 227,542.83