Finding the Third Proportional to 164,832 and 337,496

Step by Step Solution

1. Step 1: Write the proportion equation
   164,832 : 337,496 = 337,496 : x
2. Step 2: Convert to fraction form
   164,832/337,496 = 337,496/x
3. Step 3: Cross multiply
   164,832x = 337,496 × 337,496
4. Step 4: Simplify right side
   164,832x = 113,903,550,016
5. Step 5: Solve for x
   x = 113,903,550,016/164,832
6. Step 6: Final answer
   x = 691,028.14