Finding the Third Proportional to 142,227 and 329,256

Step by Step Solution

1. Step 1: Write the proportion equation
   142,227 : 329,256 = 329,256 : x
2. Step 2: Convert to fraction form
   142,227/329,256 = 329,256/x
3. Step 3: Cross multiply
   142,227x = 329,256 × 329,256
4. Step 4: Simplify right side
   142,227x = 108,409,513,536
5. Step 5: Solve for x
   x = 108,409,513,536/142,227
6. Step 6: Final answer
   x = 762,228.79