Finding the Third Proportional to 86,715 and 189,147

Step by Step Solution

1. Step 1: Write the proportion equation
   86,715 : 189,147 = 189,147 : x
2. Step 2: Convert to fraction form
   86,715/189,147 = 189,147/x
3. Step 3: Cross multiply
   86,715x = 189,147 × 189,147
4. Step 4: Simplify right side
   86,715x = 35,776,587,609
5. Step 5: Solve for x
   x = 35,776,587,609/86,715
6. Step 6: Final answer
   x = 412,576.69