Finding the Third Proportional to 105,648 and 160,420

Step by Step Solution

1. Step 1: Write the proportion equation
   105,648 : 160,420 = 160,420 : x
2. Step 2: Convert to fraction form
   105,648/160,420 = 160,420/x
3. Step 3: Cross multiply
   105,648x = 160,420 × 160,420
4. Step 4: Simplify right side
   105,648x = 25,734,576,400
5. Step 5: Solve for x
   x = 25,734,576,400/105,648
6. Step 6: Final answer
   x = 243,587.92