Finding the Third Proportional to 83,744 and 182,030

Step by Step Solution

1. Step 1: Write the proportion equation
   83,744 : 182,030 = 182,030 : x
2. Step 2: Convert to fraction form
   83,744/182,030 = 182,030/x
3. Step 3: Cross multiply
   83,744x = 182,030 × 182,030
4. Step 4: Simplify right side
   83,744x = 33,134,920,900
5. Step 5: Solve for x
   x = 33,134,920,900/83,744
6. Step 6: Final answer
   x = 395,669.19