Finding the Third Proportional to 83,986 and 130,036

Step by Step Solution

1. Step 1: Write the proportion equation
   83,986 : 130,036 = 130,036 : x
2. Step 2: Convert to fraction form
   83,986/130,036 = 130,036/x
3. Step 3: Cross multiply
   83,986x = 130,036 × 130,036
4. Step 4: Simplify right side
   83,986x = 16,909,361,296
5. Step 5: Solve for x
   x = 16,909,361,296/83,986
6. Step 6: Final answer
   x = 201,335.48