Finding the Third Proportional to 164,788 and 359,780

Step by Step Solution

1. Step 1: Write the proportion equation
   164,788 : 359,780 = 359,780 : x
2. Step 2: Convert to fraction form
   164,788/359,780 = 359,780/x
3. Step 3: Cross multiply
   164,788x = 359,780 × 359,780
4. Step 4: Simplify right side
   164,788x = 129,441,648,400
5. Step 5: Solve for x
   x = 129,441,648,400/164,788
6. Step 6: Final answer
   x = 785,504.09