Finding the Third Proportional to 164,782 and 359,768

Step by Step Solution

1. Step 1: Write the proportion equation
   164,782 : 359,768 = 359,768 : x
2. Step 2: Convert to fraction form
   164,782/359,768 = 359,768/x
3. Step 3: Cross multiply
   164,782x = 359,768 × 359,768
4. Step 4: Simplify right side
   164,782x = 129,433,013,824
5. Step 5: Solve for x
   x = 129,433,013,824/164,782
6. Step 6: Final answer
   x = 785,480.29