Finding the Third Proportional to 165,442 and 362,180

Step by Step Solution

1. Step 1: Write the proportion equation
   165,442 : 362,180 = 362,180 : x
2. Step 2: Convert to fraction form
   165,442/362,180 = 362,180/x
3. Step 3: Cross multiply
   165,442x = 362,180 × 362,180
4. Step 4: Simplify right side
   165,442x = 131,174,352,400
5. Step 5: Solve for x
   x = 131,174,352,400/165,442
6. Step 6: Final answer
   x = 792,872.14