Finding the Third Proportional to 81,576 and 180,648

Step by Step Solution

1. Step 1: Write the proportion equation
   81,576 : 180,648 = 180,648 : x
2. Step 2: Convert to fraction form
   81,576/180,648 = 180,648/x
3. Step 3: Cross multiply
   81,576x = 180,648 × 180,648
4. Step 4: Simplify right side
   81,576x = 32,633,699,904
5. Step 5: Solve for x
   x = 32,633,699,904/81,576
6. Step 6: Final answer
   x = 400,040.45