Finding the Third Proportional to 40,978 and 83,459

Step by Step Solution

1. Step 1: Write the proportion equation
   40,978 : 83,459 = 83,459 : x
2. Step 2: Convert to fraction form
   40,978/83,459 = 83,459/x
3. Step 3: Cross multiply
   40,978x = 83,459 × 83,459
4. Step 4: Simplify right side
   40,978x = 6,965,404,681
5. Step 5: Solve for x
   x = 6,965,404,681/40,978
6. Step 6: Final answer
   x = 169,979.13