Finding the Third Proportional to 143,823 and 214,914

Step by Step Solution

1. Step 1: Write the proportion equation
   143,823 : 214,914 = 214,914 : x
2. Step 2: Convert to fraction form
   143,823/214,914 = 214,914/x
3. Step 3: Cross multiply
   143,823x = 214,914 × 214,914
4. Step 4: Simplify right side
   143,823x = 46,188,027,396
5. Step 5: Solve for x
   x = 46,188,027,396/143,823
6. Step 6: Final answer
   x = 321,144.93