Finding the Third Proportional to 81,574 and 180,616

Step by Step Solution

1. Step 1: Write the proportion equation
   81,574 : 180,616 = 180,616 : x
2. Step 2: Convert to fraction form
   81,574/180,616 = 180,616/x
3. Step 3: Cross multiply
   81,574x = 180,616 × 180,616
4. Step 4: Simplify right side
   81,574x = 32,622,139,456
5. Step 5: Solve for x
   x = 32,622,139,456/81,574
6. Step 6: Final answer
   x = 399,908.54