Finding the Third Proportional to 59,826 and 123,546

Step by Step Solution

1. Step 1: Write the proportion equation
   59,826 : 123,546 = 123,546 : x
2. Step 2: Convert to fraction form
   59,826/123,546 = 123,546/x
3. Step 3: Cross multiply
   59,826x = 123,546 × 123,546
4. Step 4: Simplify right side
   59,826x = 15,263,614,116
5. Step 5: Solve for x
   x = 15,263,614,116/59,826
6. Step 6: Final answer
   x = 255,133.46