Finding the Third Proportional to 262,508 and 536,086

Step by Step Solution

1. Step 1: Write the proportion equation
   262,508 : 536,086 = 536,086 : x
2. Step 2: Convert to fraction form
   262,508/536,086 = 536,086/x
3. Step 3: Cross multiply
   262,508x = 536,086 × 536,086
4. Step 4: Simplify right side
   262,508x = 287,388,199,396
5. Step 5: Solve for x
   x = 287,388,199,396/262,508
6. Step 6: Final answer
   x = 1,094,778.82