Finding the Third Proportional to 73,530 and 161,077

Step by Step Solution

1. Step 1: Write the proportion equation
   73,530 : 161,077 = 161,077 : x
2. Step 2: Convert to fraction form
   73,530/161,077 = 161,077/x
3. Step 3: Cross multiply
   73,530x = 161,077 × 161,077
4. Step 4: Simplify right side
   73,530x = 25,945,799,929
5. Step 5: Solve for x
   x = 25,945,799,929/73,530
6. Step 6: Final answer
   x = 352,860.06