Finding the Third Proportional to 105,081.75 and 162,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,081.75 : 162,978.75 = 162,978.75 : x
2. Step 2: Convert to fraction form
   105,081.75/162,978.75 = 162,978.75/x
3. Step 3: Cross multiply
   105,081.75x = 162,978.75 × 162,978.75
4. Step 4: Simplify right side
   105,081.75x = 26,562,072,951.56
5. Step 5: Solve for x
   x = 26,562,072,951.56/105,081.75
6. Step 6: Final answer
   x = 252,775.32