Finding the Third Proportional to 86,031 and 188,667

Step by Step Solution

1. Step 1: Write the proportion equation
   86,031 : 188,667 = 188,667 : x
2. Step 2: Convert to fraction form
   86,031/188,667 = 188,667/x
3. Step 3: Cross multiply
   86,031x = 188,667 × 188,667
4. Step 4: Simplify right side
   86,031x = 35,595,236,889
5. Step 5: Solve for x
   x = 35,595,236,889/86,031
6. Step 6: Final answer
   x = 413,748.96