Finding the Third Proportional to 146,024 and 161,384

Step by Step Solution

1. Step 1: Write the proportion equation
   146,024 : 161,384 = 161,384 : x
2. Step 2: Convert to fraction form
   146,024/161,384 = 161,384/x
3. Step 3: Cross multiply
   146,024x = 161,384 × 161,384
4. Step 4: Simplify right side
   146,024x = 26,044,795,456
5. Step 5: Solve for x
   x = 26,044,795,456/146,024
6. Step 6: Final answer
   x = 178,359.69