Finding the Third Proportional to 71,184 and 108,576

Step by Step Solution

1. Step 1: Write the proportion equation
   71,184 : 108,576 = 108,576 : x
2. Step 2: Convert to fraction form
   71,184/108,576 = 108,576/x
3. Step 3: Cross multiply
   71,184x = 108,576 × 108,576
4. Step 4: Simplify right side
   71,184x = 11,788,747,776
5. Step 5: Solve for x
   x = 11,788,747,776/71,184
6. Step 6: Final answer
   x = 165,609.52