Finding the Third Proportional to 83,674 and 181,026

Step by Step Solution

1. Step 1: Write the proportion equation
   83,674 : 181,026 = 181,026 : x
2. Step 2: Convert to fraction form
   83,674/181,026 = 181,026/x
3. Step 3: Cross multiply
   83,674x = 181,026 × 181,026
4. Step 4: Simplify right side
   83,674x = 32,770,412,676
5. Step 5: Solve for x
   x = 32,770,412,676/83,674
6. Step 6: Final answer
   x = 391,643.91