Finding the Third Proportional to 83,741 and 182,026

Step by Step Solution

1. Step 1: Write the proportion equation
   83,741 : 182,026 = 182,026 : x
2. Step 2: Convert to fraction form
   83,741/182,026 = 182,026/x
3. Step 3: Cross multiply
   83,741x = 182,026 × 182,026
4. Step 4: Simplify right side
   83,741x = 33,133,464,676
5. Step 5: Solve for x
   x = 33,133,464,676/83,741
6. Step 6: Final answer
   x = 395,665.98