Finding the Third Proportional to 105,821 and 159,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,821 : 159,811.50 = 159,811.50 : x
2. Step 2: Convert to fraction form
   105,821/159,811.50 = 159,811.50/x
3. Step 3: Cross multiply
   105,821x = 159,811.50 × 159,811.50
4. Step 4: Simplify right side
   105,821x = 25,539,715,532.25
5. Step 5: Solve for x
   x = 25,539,715,532.25/105,821
6. Step 6: Final answer
   x = 241,348.27