Finding the Third Proportional to 105,905 and 149,250

Step by Step Solution

1. Step 1: Write the proportion equation
   105,905 : 149,250 = 149,250 : x
2. Step 2: Convert to fraction form
   105,905/149,250 = 149,250/x
3. Step 3: Cross multiply
   105,905x = 149,250 × 149,250
4. Step 4: Simplify right side
   105,905x = 22,275,562,500
5. Step 5: Solve for x
   x = 22,275,562,500/105,905
6. Step 6: Final answer
   x = 210,335.32