Finding the Third Proportional to 164,684 and 340,996

Step by Step Solution

1. Step 1: Write the proportion equation
   164,684 : 340,996 = 340,996 : x
2. Step 2: Convert to fraction form
   164,684/340,996 = 340,996/x
3. Step 3: Cross multiply
   164,684x = 340,996 × 340,996
4. Step 4: Simplify right side
   164,684x = 116,278,272,016
5. Step 5: Solve for x
   x = 116,278,272,016/164,684
6. Step 6: Final answer
   x = 706,069.03