Finding the Third Proportional to 105,849 and 162,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,849 : 162,148.50 = 162,148.50 : x
2. Step 2: Convert to fraction form
   105,849/162,148.50 = 162,148.50/x
3. Step 3: Cross multiply
   105,849x = 162,148.50 × 162,148.50
4. Step 4: Simplify right side
   105,849x = 26,292,136,052.25
5. Step 5: Solve for x
   x = 26,292,136,052.25/105,849
6. Step 6: Final answer
   x = 248,392.86