Finding the Third Proportional to 165,826 and 362,756

Step by Step Solution

1. Step 1: Write the proportion equation
   165,826 : 362,756 = 362,756 : x
2. Step 2: Convert to fraction form
   165,826/362,756 = 362,756/x
3. Step 3: Cross multiply
   165,826x = 362,756 × 362,756
4. Step 4: Simplify right side
   165,826x = 131,591,915,536
5. Step 5: Solve for x
   x = 131,591,915,536/165,826
6. Step 6: Final answer
   x = 793,554.18