Finding the Third Proportional to 146,044 and 161,404

Step by Step Solution

1. Step 1: Write the proportion equation
   146,044 : 161,404 = 161,404 : x
2. Step 2: Convert to fraction form
   146,044/161,404 = 161,404/x
3. Step 3: Cross multiply
   146,044x = 161,404 × 161,404
4. Step 4: Simplify right side
   146,044x = 26,051,251,216
5. Step 5: Solve for x
   x = 26,051,251,216/146,044
6. Step 6: Final answer
   x = 178,379.47