Finding the Third Proportional to 83,049 and 181,554

Step by Step Solution

1. Step 1: Write the proportion equation
   83,049 : 181,554 = 181,554 : x
2. Step 2: Convert to fraction form
   83,049/181,554 = 181,554/x
3. Step 3: Cross multiply
   83,049x = 181,554 × 181,554
4. Step 4: Simplify right side
   83,049x = 32,961,854,916
5. Step 5: Solve for x
   x = 32,961,854,916/83,049
6. Step 6: Final answer
   x = 396,896.47