Finding the Third Proportional to 86,618 and 189,436

Step by Step Solution

1. Step 1: Write the proportion equation
   86,618 : 189,436 = 189,436 : x
2. Step 2: Convert to fraction form
   86,618/189,436 = 189,436/x
3. Step 3: Cross multiply
   86,618x = 189,436 × 189,436
4. Step 4: Simplify right side
   86,618x = 35,885,998,096
5. Step 5: Solve for x
   x = 35,885,998,096/86,618
6. Step 6: Final answer
   x = 414,301.86