Finding the Third Proportional to 164,434 and 341,828

Step by Step Solution

1. Step 1: Write the proportion equation
   164,434 : 341,828 = 341,828 : x
2. Step 2: Convert to fraction form
   164,434/341,828 = 341,828/x
3. Step 3: Cross multiply
   164,434x = 341,828 × 341,828
4. Step 4: Simplify right side
   164,434x = 116,846,381,584
5. Step 5: Solve for x
   x = 116,846,381,584/164,434
6. Step 6: Final answer
   x = 710,597.45