Finding the Third Proportional to 72,576 and 114,048

Step by Step Solution

1. Step 1: Write the proportion equation
   72,576 : 114,048 = 114,048 : x
2. Step 2: Convert to fraction form
   72,576/114,048 = 114,048/x
3. Step 3: Cross multiply
   72,576x = 114,048 × 114,048
4. Step 4: Simplify right side
   72,576x = 13,006,946,304
5. Step 5: Solve for x
   x = 13,006,946,304/72,576
6. Step 6: Final answer
   x = 179,218.29