Finding the Third Proportional to 233,686 and 496,538

Step by Step Solution

1. Step 1: Write the proportion equation
   233,686 : 496,538 = 496,538 : x
2. Step 2: Convert to fraction form
   233,686/496,538 = 496,538/x
3. Step 3: Cross multiply
   233,686x = 496,538 × 496,538
4. Step 4: Simplify right side
   233,686x = 246,549,985,444
5. Step 5: Solve for x
   x = 246,549,985,444/233,686
6. Step 6: Final answer
   x = 1,055,048.16