Finding the Third Proportional to 86,634 and 189,144

Step by Step Solution

1. Step 1: Write the proportion equation
   86,634 : 189,144 = 189,144 : x
2. Step 2: Convert to fraction form
   86,634/189,144 = 189,144/x
3. Step 3: Cross multiply
   86,634x = 189,144 × 189,144
4. Step 4: Simplify right side
   86,634x = 35,775,452,736
5. Step 5: Solve for x
   x = 35,775,452,736/86,634
6. Step 6: Final answer
   x = 412,949.34