Finding the Third Proportional to 105,715 and 144,963

Step by Step Solution

1. Step 1: Write the proportion equation
   105,715 : 144,963 = 144,963 : x
2. Step 2: Convert to fraction form
   105,715/144,963 = 144,963/x
3. Step 3: Cross multiply
   105,715x = 144,963 × 144,963
4. Step 4: Simplify right side
   105,715x = 21,014,271,369
5. Step 5: Solve for x
   x = 21,014,271,369/105,715
6. Step 6: Final answer
   x = 198,782.30