Finding the Third Proportional to 82,986 and 111,807

Step by Step Solution

1. Step 1: Write the proportion equation
   82,986 : 111,807 = 111,807 : x
2. Step 2: Convert to fraction form
   82,986/111,807 = 111,807/x
3. Step 3: Cross multiply
   82,986x = 111,807 × 111,807
4. Step 4: Simplify right side
   82,986x = 12,500,805,249
5. Step 5: Solve for x
   x = 12,500,805,249/82,986
6. Step 6: Final answer
   x = 150,637.52