Finding the Third Proportional to 142,192 and 213,648

Step by Step Solution

1. Step 1: Write the proportion equation
   142,192 : 213,648 = 213,648 : x
2. Step 2: Convert to fraction form
   142,192/213,648 = 213,648/x
3. Step 3: Cross multiply
   142,192x = 213,648 × 213,648
4. Step 4: Simplify right side
   142,192x = 45,645,467,904
5. Step 5: Solve for x
   x = 45,645,467,904/142,192
6. Step 6: Final answer
   x = 321,012.91