Finding the Third Proportional to 83,954 and 181,441

Step by Step Solution

1. Step 1: Write the proportion equation
   83,954 : 181,441 = 181,441 : x
2. Step 2: Convert to fraction form
   83,954/181,441 = 181,441/x
3. Step 3: Cross multiply
   83,954x = 181,441 × 181,441
4. Step 4: Simplify right side
   83,954x = 32,920,836,481
5. Step 5: Solve for x
   x = 32,920,836,481/83,954
6. Step 6: Final answer
   x = 392,129.46