Finding the Third Proportional to 86,576 and 189,172

Step by Step Solution

1. Step 1: Write the proportion equation
   86,576 : 189,172 = 189,172 : x
2. Step 2: Convert to fraction form
   86,576/189,172 = 189,172/x
3. Step 3: Cross multiply
   86,576x = 189,172 × 189,172
4. Step 4: Simplify right side
   86,576x = 35,786,045,584
5. Step 5: Solve for x
   x = 35,786,045,584/86,576
6. Step 6: Final answer
   x = 413,348.34