Finding the Third Proportional to 164,806 and 352,942

Step by Step Solution

1. Step 1: Write the proportion equation
   164,806 : 352,942 = 352,942 : x
2. Step 2: Convert to fraction form
   164,806/352,942 = 352,942/x
3. Step 3: Cross multiply
   164,806x = 352,942 × 352,942
4. Step 4: Simplify right side
   164,806x = 124,568,055,364
5. Step 5: Solve for x
   x = 124,568,055,364/164,806
6. Step 6: Final answer
   x = 755,846.60