Finding the Third Proportional to 201,241.75 and 419,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,241.75 : 419,019.50 = 419,019.50 : x
2. Step 2: Convert to fraction form
   201,241.75/419,019.50 = 419,019.50/x
3. Step 3: Cross multiply
   201,241.75x = 419,019.50 × 419,019.50
4. Step 4: Simplify right side
   201,241.75x = 175,577,341,380.25
5. Step 5: Solve for x
   x = 175,577,341,380.25/201,241.75
6. Step 6: Final answer
   x = 872,469.76