Finding the Third Proportional to 105,960 and 148,503

Step by Step Solution

1. Step 1: Write the proportion equation
   105,960 : 148,503 = 148,503 : x
2. Step 2: Convert to fraction form
   105,960/148,503 = 148,503/x
3. Step 3: Cross multiply
   105,960x = 148,503 × 148,503
4. Step 4: Simplify right side
   105,960x = 22,053,141,009
5. Step 5: Solve for x
   x = 22,053,141,009/105,960
6. Step 6: Final answer
   x = 208,127.04