Finding the Third Proportional to 40,783 and 83,618

Step by Step Solution

1. Step 1: Write the proportion equation
   40,783 : 83,618 = 83,618 : x
2. Step 2: Convert to fraction form
   40,783/83,618 = 83,618/x
3. Step 3: Cross multiply
   40,783x = 83,618 × 83,618
4. Step 4: Simplify right side
   40,783x = 6,991,969,924
5. Step 5: Solve for x
   x = 6,991,969,924/40,783
6. Step 6: Final answer
   x = 171,443.25