Finding the Third Proportional to 105,941.25 and 150,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,941.25 : 150,997.50 = 150,997.50 : x
2. Step 2: Convert to fraction form
   105,941.25/150,997.50 = 150,997.50/x
3. Step 3: Cross multiply
   105,941.25x = 150,997.50 × 150,997.50
4. Step 4: Simplify right side
   105,941.25x = 22,800,245,006.25
5. Step 5: Solve for x
   x = 22,800,245,006.25/105,941.25
6. Step 6: Final answer
   x = 215,215.93