Finding the Third Proportional to 82,984 and 111,804

Step by Step Solution

1. Step 1: Write the proportion equation
   82,984 : 111,804 = 111,804 : x
2. Step 2: Convert to fraction form
   82,984/111,804 = 111,804/x
3. Step 3: Cross multiply
   82,984x = 111,804 × 111,804
4. Step 4: Simplify right side
   82,984x = 12,500,134,416
5. Step 5: Solve for x
   x = 12,500,134,416/82,984
6. Step 6: Final answer
   x = 150,633.07