Finding the Third Proportional to 165,760 and 262,886

Step by Step Solution

1. Step 1: Write the proportion equation
   165,760 : 262,886 = 262,886 : x
2. Step 2: Convert to fraction form
   165,760/262,886 = 262,886/x
3. Step 3: Cross multiply
   165,760x = 262,886 × 262,886
4. Step 4: Simplify right side
   165,760x = 69,109,048,996
5. Step 5: Solve for x
   x = 69,109,048,996/165,760
6. Step 6: Final answer
   x = 416,922.35