Finding the Third Proportional to 164,070 and 354,384

Step by Step Solution

1. Step 1: Write the proportion equation
   164,070 : 354,384 = 354,384 : x
2. Step 2: Convert to fraction form
   164,070/354,384 = 354,384/x
3. Step 3: Cross multiply
   164,070x = 354,384 × 354,384
4. Step 4: Simplify right side
   164,070x = 125,588,019,456
5. Step 5: Solve for x
   x = 125,588,019,456/164,070
6. Step 6: Final answer
   x = 765,453.89