Finding the Third Proportional to 142,186 and 213,644

Step by Step Solution

1. Step 1: Write the proportion equation
   142,186 : 213,644 = 213,644 : x
2. Step 2: Convert to fraction form
   142,186/213,644 = 213,644/x
3. Step 3: Cross multiply
   142,186x = 213,644 × 213,644
4. Step 4: Simplify right side
   142,186x = 45,643,758,736
5. Step 5: Solve for x
   x = 45,643,758,736/142,186
6. Step 6: Final answer
   x = 321,014.44