Finding the Third Proportional to 201,238 and 419,012

Step by Step Solution

1. Step 1: Write the proportion equation
   201,238 : 419,012 = 419,012 : x
2. Step 2: Convert to fraction form
   201,238/419,012 = 419,012/x
3. Step 3: Cross multiply
   201,238x = 419,012 × 419,012
4. Step 4: Simplify right side
   201,238x = 175,571,056,144
5. Step 5: Solve for x
   x = 175,571,056,144/201,238
6. Step 6: Final answer
   x = 872,454.79