Finding the Third Proportional to 45,986 and 100,582

Step by Step Solution

1. Step 1: Write the proportion equation
   45,986 : 100,582 = 100,582 : x
2. Step 2: Convert to fraction form
   45,986/100,582 = 100,582/x
3. Step 3: Cross multiply
   45,986x = 100,582 × 100,582
4. Step 4: Simplify right side
   45,986x = 10,116,738,724
5. Step 5: Solve for x
   x = 10,116,738,724/45,986
6. Step 6: Final answer
   x = 219,996.06