Finding the Third Proportional to 164,256 and 353,648

Step by Step Solution

1. Step 1: Write the proportion equation
   164,256 : 353,648 = 353,648 : x
2. Step 2: Convert to fraction form
   164,256/353,648 = 353,648/x
3. Step 3: Cross multiply
   164,256x = 353,648 × 353,648
4. Step 4: Simplify right side
   164,256x = 125,066,907,904
5. Step 5: Solve for x
   x = 125,066,907,904/164,256
6. Step 6: Final answer
   x = 761,414.55