Finding the Third Proportional to 164,109 and 353,166

Step by Step Solution

1. Step 1: Write the proportion equation
   164,109 : 353,166 = 353,166 : x
2. Step 2: Convert to fraction form
   164,109/353,166 = 353,166/x
3. Step 3: Cross multiply
   164,109x = 353,166 × 353,166
4. Step 4: Simplify right side
   164,109x = 124,726,223,556
5. Step 5: Solve for x
   x = 124,726,223,556/164,109
6. Step 6: Final answer
   x = 760,020.62