Finding the Third Proportional to 50,082 and 102,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,082 : 102,019.50 = 102,019.50 : x
2. Step 2: Convert to fraction form
   50,082/102,019.50 = 102,019.50/x
3. Step 3: Cross multiply
   50,082x = 102,019.50 × 102,019.50
4. Step 4: Simplify right side
   50,082x = 10,407,978,380.25
5. Step 5: Solve for x
   x = 10,407,978,380.25/50,082
6. Step 6: Final answer
   x = 207,818.74