Finding the Third Proportional to 105,033.38 and 150,989.06

Step by Step Solution

1. Step 1: Write the proportion equation
   105,033.38 : 150,989.06 = 150,989.06 : x
2. Step 2: Convert to fraction form
   105,033.38/150,989.06 = 150,989.06/x
3. Step 3: Cross multiply
   105,033.38x = 150,989.06 × 150,989.06
4. Step 4: Simplify right side
   105,033.38x = 22,797,696,994.63
5. Step 5: Solve for x
   x = 22,797,696,994.63/105,033.38
6. Step 6: Final answer
   x = 217,051.93