Finding the Third Proportional to 105,854.06 and 150,898.78

Step by Step Solution

1. Step 1: Write the proportion equation
   105,854.06 : 150,898.78 = 150,898.78 : x
2. Step 2: Convert to fraction form
   105,854.06/150,898.78 = 150,898.78/x
3. Step 3: Cross multiply
   105,854.06x = 150,898.78 × 150,898.78
4. Step 4: Simplify right side
   105,854.06x = 22,770,442,182.74
5. Step 5: Solve for x
   x = 22,770,442,182.74/105,854.06
6. Step 6: Final answer
   x = 215,111.65