Finding the Third Proportional to 105,960 and 148,512

Step by Step Solution

1. Step 1: Write the proportion equation
   105,960 : 148,512 = 148,512 : x
2. Step 2: Convert to fraction form
   105,960/148,512 = 148,512/x
3. Step 3: Cross multiply
   105,960x = 148,512 × 148,512
4. Step 4: Simplify right side
   105,960x = 22,055,814,144
5. Step 5: Solve for x
   x = 22,055,814,144/105,960
6. Step 6: Final answer
   x = 208,152.27