Finding the Third Proportional to 105,735.50 and 155,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,735.50 : 155,682.50 = 155,682.50 : x
2. Step 2: Convert to fraction form
   105,735.50/155,682.50 = 155,682.50/x
3. Step 3: Cross multiply
   105,735.50x = 155,682.50 × 155,682.50
4. Step 4: Simplify right side
   105,735.50x = 24,237,040,806.25
5. Step 5: Solve for x
   x = 24,237,040,806.25/105,735.50
6. Step 6: Final answer
   x = 229,223.31