Finding the Third Proportional to 165,740 and 362,830

Step by Step Solution

1. Step 1: Write the proportion equation
   165,740 : 362,830 = 362,830 : x
2. Step 2: Convert to fraction form
   165,740/362,830 = 362,830/x
3. Step 3: Cross multiply
   165,740x = 362,830 × 362,830
4. Step 4: Simplify right side
   165,740x = 131,645,608,900
5. Step 5: Solve for x
   x = 131,645,608,900/165,740
6. Step 6: Final answer
   x = 794,289.91