Finding the Third Proportional to 142,204 and 214,208

Step by Step Solution

1. Step 1: Write the proportion equation
   142,204 : 214,208 = 214,208 : x
2. Step 2: Convert to fraction form
   142,204/214,208 = 214,208/x
3. Step 3: Cross multiply
   142,204x = 214,208 × 214,208
4. Step 4: Simplify right side
   142,204x = 45,885,067,264
5. Step 5: Solve for x
   x = 45,885,067,264/142,204
6. Step 6: Final answer
   x = 322,670.72