Finding the Third Proportional to 164,814 and 359,004

Step by Step Solution

1. Step 1: Write the proportion equation
   164,814 : 359,004 = 359,004 : x
2. Step 2: Convert to fraction form
   164,814/359,004 = 359,004/x
3. Step 3: Cross multiply
   164,814x = 359,004 × 359,004
4. Step 4: Simplify right side
   164,814x = 128,883,872,016
5. Step 5: Solve for x
   x = 128,883,872,016/164,814
6. Step 6: Final answer
   x = 781,995.90