Finding the Third Proportional to 53,022 and 111,498

Step by Step Solution

1. Step 1: Write the proportion equation
   53,022 : 111,498 = 111,498 : x
2. Step 2: Convert to fraction form
   53,022/111,498 = 111,498/x
3. Step 3: Cross multiply
   53,022x = 111,498 × 111,498
4. Step 4: Simplify right side
   53,022x = 12,431,804,004
5. Step 5: Solve for x
   x = 12,431,804,004/53,022
6. Step 6: Final answer
   x = 234,465.01