Finding the Third Proportional to 165,755 and 362,858

Step by Step Solution

1. Step 1: Write the proportion equation
   165,755 : 362,858 = 362,858 : x
2. Step 2: Convert to fraction form
   165,755/362,858 = 362,858/x
3. Step 3: Cross multiply
   165,755x = 362,858 × 362,858
4. Step 4: Simplify right side
   165,755x = 131,665,928,164
5. Step 5: Solve for x
   x = 131,665,928,164/165,755
6. Step 6: Final answer
   x = 794,340.61