Finding the Third Proportional to 50,071 and 101,523

Step by Step Solution

1. Step 1: Write the proportion equation
   50,071 : 101,523 = 101,523 : x
2. Step 2: Convert to fraction form
   50,071/101,523 = 101,523/x
3. Step 3: Cross multiply
   50,071x = 101,523 × 101,523
4. Step 4: Simplify right side
   50,071x = 10,306,919,529
5. Step 5: Solve for x
   x = 10,306,919,529/50,071
6. Step 6: Final answer
   x = 205,846.09