Finding the Third Proportional to 50,097 and 109,581

Step by Step Solution

1. Step 1: Write the proportion equation
   50,097 : 109,581 = 109,581 : x
2. Step 2: Convert to fraction form
   50,097/109,581 = 109,581/x
3. Step 3: Cross multiply
   50,097x = 109,581 × 109,581
4. Step 4: Simplify right side
   50,097x = 12,007,995,561
5. Step 5: Solve for x
   x = 12,007,995,561/50,097
6. Step 6: Final answer
   x = 239,694.90