Finding the Third Proportional to 50,692 and 123,274

Step by Step Solution

1. Step 1: Write the proportion equation
   50,692 : 123,274 = 123,274 : x
2. Step 2: Convert to fraction form
   50,692/123,274 = 123,274/x
3. Step 3: Cross multiply
   50,692x = 123,274 × 123,274
4. Step 4: Simplify right side
   50,692x = 15,196,479,076
5. Step 5: Solve for x
   x = 15,196,479,076/50,692
6. Step 6: Final answer
   x = 299,780.62