Finding the Third Proportional to 165,206 and 362,074

Step by Step Solution

1. Step 1: Write the proportion equation
   165,206 : 362,074 = 362,074 : x
2. Step 2: Convert to fraction form
   165,206/362,074 = 362,074/x
3. Step 3: Cross multiply
   165,206x = 362,074 × 362,074
4. Step 4: Simplify right side
   165,206x = 131,097,581,476
5. Step 5: Solve for x
   x = 131,097,581,476/165,206
6. Step 6: Final answer
   x = 793,540.07