Finding the Third Proportional to 164,432 and 341,824

Step by Step Solution

1. Step 1: Write the proportion equation
   164,432 : 341,824 = 341,824 : x
2. Step 2: Convert to fraction form
   164,432/341,824 = 341,824/x
3. Step 3: Cross multiply
   164,432x = 341,824 × 341,824
4. Step 4: Simplify right side
   164,432x = 116,843,646,976
5. Step 5: Solve for x
   x = 116,843,646,976/164,432
6. Step 6: Final answer
   x = 710,589.47