Finding the Third Proportional to 105,696 and 140,904

Step by Step Solution

1. Step 1: Write the proportion equation
   105,696 : 140,904 = 140,904 : x
2. Step 2: Convert to fraction form
   105,696/140,904 = 140,904/x
3. Step 3: Cross multiply
   105,696x = 140,904 × 140,904
4. Step 4: Simplify right side
   105,696x = 19,853,937,216
5. Step 5: Solve for x
   x = 19,853,937,216/105,696
6. Step 6: Final answer
   x = 187,840.01