Finding the Third Proportional to 164,645 and 353,834

Step by Step Solution

1. Step 1: Write the proportion equation
   164,645 : 353,834 = 353,834 : x
2. Step 2: Convert to fraction form
   164,645/353,834 = 353,834/x
3. Step 3: Cross multiply
   164,645x = 353,834 × 353,834
4. Step 4: Simplify right side
   164,645x = 125,198,499,556
5. Step 5: Solve for x
   x = 125,198,499,556/164,645
6. Step 6: Final answer
   x = 760,414.83