Finding the Third Proportional to 165,718 and 262,826

Step by Step Solution

1. Step 1: Write the proportion equation
   165,718 : 262,826 = 262,826 : x
2. Step 2: Convert to fraction form
   165,718/262,826 = 262,826/x
3. Step 3: Cross multiply
   165,718x = 262,826 × 262,826
4. Step 4: Simplify right side
   165,718x = 69,077,506,276
5. Step 5: Solve for x
   x = 69,077,506,276/165,718
6. Step 6: Final answer
   x = 416,837.68