Finding the Third Proportional to 164,478 and 341,884

Step by Step Solution

1. Step 1: Write the proportion equation
   164,478 : 341,884 = 341,884 : x
2. Step 2: Convert to fraction form
   164,478/341,884 = 341,884/x
3. Step 3: Cross multiply
   164,478x = 341,884 × 341,884
4. Step 4: Simplify right side
   164,478x = 116,884,669,456
5. Step 5: Solve for x
   x = 116,884,669,456/164,478
6. Step 6: Final answer
   x = 710,640.14