Finding the Third Proportional to 166,609 and 362,798

Step by Step Solution

1. Step 1: Write the proportion equation
   166,609 : 362,798 = 362,798 : x
2. Step 2: Convert to fraction form
   166,609/362,798 = 362,798/x
3. Step 3: Cross multiply
   166,609x = 362,798 × 362,798
4. Step 4: Simplify right side
   166,609x = 131,622,388,804
5. Step 5: Solve for x
   x = 131,622,388,804/166,609
6. Step 6: Final answer
   x = 790,007.68