Finding the Third Proportional to 262,346 and 562,036

Step by Step Solution

1. Step 1: Write the proportion equation
   262,346 : 562,036 = 562,036 : x
2. Step 2: Convert to fraction form
   262,346/562,036 = 562,036/x
3. Step 3: Cross multiply
   262,346x = 562,036 × 562,036
4. Step 4: Simplify right side
   262,346x = 315,884,465,296
5. Step 5: Solve for x
   x = 315,884,465,296/262,346
6. Step 6: Final answer
   x = 1,204,075.78