Finding the Third Proportional to 201,243.50 and 419,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,243.50 : 419,022.50 = 419,022.50 : x
2. Step 2: Convert to fraction form
   201,243.50/419,022.50 = 419,022.50/x
3. Step 3: Cross multiply
   201,243.50x = 419,022.50 × 419,022.50
4. Step 4: Simplify right side
   201,243.50x = 175,579,855,506.25
5. Step 5: Solve for x
   x = 175,579,855,506.25/201,243.50
6. Step 6: Final answer
   x = 872,474.67