Finding the Third Proportional to 105,249 and 160,500

Step by Step Solution

1. Step 1: Write the proportion equation
   105,249 : 160,500 = 160,500 : x
2. Step 2: Convert to fraction form
   105,249/160,500 = 160,500/x
3. Step 3: Cross multiply
   105,249x = 160,500 × 160,500
4. Step 4: Simplify right side
   105,249x = 25,760,250,000
5. Step 5: Solve for x
   x = 25,760,250,000/105,249
6. Step 6: Final answer
   x = 244,755.29