Finding the Third Proportional to 164,608 and 354,196

Step by Step Solution

1. Step 1: Write the proportion equation
   164,608 : 354,196 = 354,196 : x
2. Step 2: Convert to fraction form
   164,608/354,196 = 354,196/x
3. Step 3: Cross multiply
   164,608x = 354,196 × 354,196
4. Step 4: Simplify right side
   164,608x = 125,454,806,416
5. Step 5: Solve for x
   x = 125,454,806,416/164,608
6. Step 6: Final answer
   x = 762,142.83