Finding the Third Proportional to 105,829.50 and 162,115.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,829.50 : 162,115.50 = 162,115.50 : x
2. Step 2: Convert to fraction form
   105,829.50/162,115.50 = 162,115.50/x
3. Step 3: Cross multiply
   105,829.50x = 162,115.50 × 162,115.50
4. Step 4: Simplify right side
   105,829.50x = 26,281,435,340.25
5. Step 5: Solve for x
   x = 26,281,435,340.25/105,829.50
6. Step 6: Final answer
   x = 248,337.52