Finding the Third Proportional to 82,531 and 111,449

Step by Step Solution

1. Step 1: Write the proportion equation
   82,531 : 111,449 = 111,449 : x
2. Step 2: Convert to fraction form
   82,531/111,449 = 111,449/x
3. Step 3: Cross multiply
   82,531x = 111,449 × 111,449
4. Step 4: Simplify right side
   82,531x = 12,420,879,601
5. Step 5: Solve for x
   x = 12,420,879,601/82,531
6. Step 6: Final answer
   x = 150,499.57