Finding the Third Proportional to 164,438 and 341,836

Step by Step Solution

1. Step 1: Write the proportion equation
   164,438 : 341,836 = 341,836 : x
2. Step 2: Convert to fraction form
   164,438/341,836 = 341,836/x
3. Step 3: Cross multiply
   164,438x = 341,836 × 341,836
4. Step 4: Simplify right side
   164,438x = 116,851,850,896
5. Step 5: Solve for x
   x = 116,851,850,896/164,438
6. Step 6: Final answer
   x = 710,613.43