Finding the Third Proportional to 201,241.50 and 419,019

Step by Step Solution

1. Step 1: Write the proportion equation
   201,241.50 : 419,019 = 419,019 : x
2. Step 2: Convert to fraction form
   201,241.50/419,019 = 419,019/x
3. Step 3: Cross multiply
   201,241.50x = 419,019 × 419,019
4. Step 4: Simplify right side
   201,241.50x = 175,576,922,361
5. Step 5: Solve for x
   x = 175,576,922,361/201,241.50
6. Step 6: Final answer
   x = 872,468.76