Finding the Third Proportional to 105,882.75 and 159,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,882.75 : 159,061.50 = 159,061.50 : x
2. Step 2: Convert to fraction form
   105,882.75/159,061.50 = 159,061.50/x
3. Step 3: Cross multiply
   105,882.75x = 159,061.50 × 159,061.50
4. Step 4: Simplify right side
   105,882.75x = 25,300,560,782.25
5. Step 5: Solve for x
   x = 25,300,560,782.25/105,882.75
6. Step 6: Final answer
   x = 238,948.84