Finding the Third Proportional to 164,408 and 336,584

Step by Step Solution

1. Step 1: Write the proportion equation
   164,408 : 336,584 = 336,584 : x
2. Step 2: Convert to fraction form
   164,408/336,584 = 336,584/x
3. Step 3: Cross multiply
   164,408x = 336,584 × 336,584
4. Step 4: Simplify right side
   164,408x = 113,288,789,056
5. Step 5: Solve for x
   x = 113,288,789,056/164,408
6. Step 6: Final answer
   x = 689,071.02