Finding the Third Proportional to 86,588 and 189,055

Step by Step Solution

1. Step 1: Write the proportion equation
   86,588 : 189,055 = 189,055 : x
2. Step 2: Convert to fraction form
   86,588/189,055 = 189,055/x
3. Step 3: Cross multiply
   86,588x = 189,055 × 189,055
4. Step 4: Simplify right side
   86,588x = 35,741,793,025
5. Step 5: Solve for x
   x = 35,741,793,025/86,588
6. Step 6: Final answer
   x = 412,779.98