Finding the Third Proportional to 23,072 and 50,194

Step by Step Solution

1. Step 1: Write the proportion equation
   23,072 : 50,194 = 50,194 : x
2. Step 2: Convert to fraction form
   23,072/50,194 = 50,194/x
3. Step 3: Cross multiply
   23,072x = 50,194 × 50,194
4. Step 4: Simplify right side
   23,072x = 2,519,437,636
5. Step 5: Solve for x
   x = 2,519,437,636/23,072
6. Step 6: Final answer
   x = 109,198.93