Finding the Third Proportional to 105,026 and 159,481.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,026 : 159,481.50 = 159,481.50 : x
2. Step 2: Convert to fraction form
   105,026/159,481.50 = 159,481.50/x
3. Step 3: Cross multiply
   105,026x = 159,481.50 × 159,481.50
4. Step 4: Simplify right side
   105,026x = 25,434,348,842.25
5. Step 5: Solve for x
   x = 25,434,348,842.25/105,026
6. Step 6: Final answer
   x = 242,171.93