Finding the Third Proportional to 165,754 and 362,856

Step by Step Solution

1. Step 1: Write the proportion equation
   165,754 : 362,856 = 362,856 : x
2. Step 2: Convert to fraction form
   165,754/362,856 = 362,856/x
3. Step 3: Cross multiply
   165,754x = 362,856 × 362,856
4. Step 4: Simplify right side
   165,754x = 131,664,476,736
5. Step 5: Solve for x
   x = 131,664,476,736/165,754
6. Step 6: Final answer
   x = 794,336.65