Finding the Third Proportional to 83,182 and 127,986

Step by Step Solution

1. Step 1: Write the proportion equation
   83,182 : 127,986 = 127,986 : x
2. Step 2: Convert to fraction form
   83,182/127,986 = 127,986/x
3. Step 3: Cross multiply
   83,182x = 127,986 × 127,986
4. Step 4: Simplify right side
   83,182x = 16,380,416,196
5. Step 5: Solve for x
   x = 16,380,416,196/83,182
6. Step 6: Final answer
   x = 196,922.61