Finding the Third Proportional to 86,736 and 189,345

Step by Step Solution

1. Step 1: Write the proportion equation
   86,736 : 189,345 = 189,345 : x
2. Step 2: Convert to fraction form
   86,736/189,345 = 189,345/x
3. Step 3: Cross multiply
   86,736x = 189,345 × 189,345
4. Step 4: Simplify right side
   86,736x = 35,851,529,025
5. Step 5: Solve for x
   x = 35,851,529,025/86,736
6. Step 6: Final answer
   x = 413,340.82