Finding the Third Proportional to 164,334 and 336,456

Step by Step Solution

1. Step 1: Write the proportion equation
   164,334 : 336,456 = 336,456 : x
2. Step 2: Convert to fraction form
   164,334/336,456 = 336,456/x
3. Step 3: Cross multiply
   164,334x = 336,456 × 336,456
4. Step 4: Simplify right side
   164,334x = 113,202,639,936
5. Step 5: Solve for x
   x = 113,202,639,936/164,334
6. Step 6: Final answer
   x = 688,857.08