Finding the Third Proportional to 83,583 and 181,044

Step by Step Solution

1. Step 1: Write the proportion equation
   83,583 : 181,044 = 181,044 : x
2. Step 2: Convert to fraction form
   83,583/181,044 = 181,044/x
3. Step 3: Cross multiply
   83,583x = 181,044 × 181,044
4. Step 4: Simplify right side
   83,583x = 32,776,929,936
5. Step 5: Solve for x
   x = 32,776,929,936/83,583
6. Step 6: Final answer
   x = 392,148.28