Finding the Third Proportional to 164,334 and 234,834

Step by Step Solution

1. Step 1: Write the proportion equation
   164,334 : 234,834 = 234,834 : x
2. Step 2: Convert to fraction form
   164,334/234,834 = 234,834/x
3. Step 3: Cross multiply
   164,334x = 234,834 × 234,834
4. Step 4: Simplify right side
   164,334x = 55,147,007,556
5. Step 5: Solve for x
   x = 55,147,007,556/164,334
6. Step 6: Final answer
   x = 335,578.81