Finding the Third Proportional to 86,108 and 189,256

Step by Step Solution

1. Step 1: Write the proportion equation
   86,108 : 189,256 = 189,256 : x
2. Step 2: Convert to fraction form
   86,108/189,256 = 189,256/x
3. Step 3: Cross multiply
   86,108x = 189,256 × 189,256
4. Step 4: Simplify right side
   86,108x = 35,817,833,536
5. Step 5: Solve for x
   x = 35,817,833,536/86,108
6. Step 6: Final answer
   x = 415,964.06