Finding the Third Proportional to 105,192 and 147,960

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 147,960 = 147,960 : x
2. Step 2: Convert to fraction form
   105,192/147,960 = 147,960/x
3. Step 3: Cross multiply
   105,192x = 147,960 × 147,960
4. Step 4: Simplify right side
   105,192x = 21,892,161,600
5. Step 5: Solve for x
   x = 21,892,161,600/105,192
6. Step 6: Final answer
   x = 208,116.22