Finding the Third Proportional to 86,586 and 189,051

Step by Step Solution

1. Step 1: Write the proportion equation
   86,586 : 189,051 = 189,051 : x
2. Step 2: Convert to fraction form
   86,586/189,051 = 189,051/x
3. Step 3: Cross multiply
   86,586x = 189,051 × 189,051
4. Step 4: Simplify right side
   86,586x = 35,740,280,601
5. Step 5: Solve for x
   x = 35,740,280,601/86,586
6. Step 6: Final answer
   x = 412,772.05