Finding the Third Proportional to 105,120 and 161,592

Step by Step Solution

1. Step 1: Write the proportion equation
   105,120 : 161,592 = 161,592 : x
2. Step 2: Convert to fraction form
   105,120/161,592 = 161,592/x
3. Step 3: Cross multiply
   105,120x = 161,592 × 161,592
4. Step 4: Simplify right side
   105,120x = 26,111,974,464
5. Step 5: Solve for x
   x = 26,111,974,464/105,120
6. Step 6: Final answer
   x = 248,401.58