Finding the Third Proportional to 164,354 and 336,496

Step by Step Solution

1. Step 1: Write the proportion equation
   164,354 : 336,496 = 336,496 : x
2. Step 2: Convert to fraction form
   164,354/336,496 = 336,496/x
3. Step 3: Cross multiply
   164,354x = 336,496 × 336,496
4. Step 4: Simplify right side
   164,354x = 113,229,558,016
5. Step 5: Solve for x
   x = 113,229,558,016/164,354
6. Step 6: Final answer
   x = 688,937.04