Finding the Third Proportional to 164,844 and 353,016

Step by Step Solution

1. Step 1: Write the proportion equation
   164,844 : 353,016 = 353,016 : x
2. Step 2: Convert to fraction form
   164,844/353,016 = 353,016/x
3. Step 3: Cross multiply
   164,844x = 353,016 × 353,016
4. Step 4: Simplify right side
   164,844x = 124,620,296,256
5. Step 5: Solve for x
   x = 124,620,296,256/164,844
6. Step 6: Final answer
   x = 755,989.28