Finding the Third Proportional to 111,295 and 262,462

Step by Step Solution

1. Step 1: Write the proportion equation
   111,295 : 262,462 = 262,462 : x
2. Step 2: Convert to fraction form
   111,295/262,462 = 262,462/x
3. Step 3: Cross multiply
   111,295x = 262,462 × 262,462
4. Step 4: Simplify right side
   111,295x = 68,886,301,444
5. Step 5: Solve for x
   x = 68,886,301,444/111,295
6. Step 6: Final answer
   x = 618,952.35