Finding the Third Proportional to 50,072 and 109,530

Step by Step Solution

1. Step 1: Write the proportion equation
   50,072 : 109,530 = 109,530 : x
2. Step 2: Convert to fraction form
   50,072/109,530 = 109,530/x
3. Step 3: Cross multiply
   50,072x = 109,530 × 109,530
4. Step 4: Simplify right side
   50,072x = 11,996,820,900
5. Step 5: Solve for x
   x = 11,996,820,900/50,072
6. Step 6: Final answer
   x = 239,591.41