Finding the Third Proportional to 164,405 and 357,004

Step by Step Solution

1. Step 1: Write the proportion equation
   164,405 : 357,004 = 357,004 : x
2. Step 2: Convert to fraction form
   164,405/357,004 = 357,004/x
3. Step 3: Cross multiply
   164,405x = 357,004 × 357,004
4. Step 4: Simplify right side
   164,405x = 127,451,856,016
5. Step 5: Solve for x
   x = 127,451,856,016/164,405
6. Step 6: Final answer
   x = 775,231.02