Finding the Third Proportional to 105,048 and 159,516

Step by Step Solution

1. Step 1: Write the proportion equation
   105,048 : 159,516 = 159,516 : x
2. Step 2: Convert to fraction form
   105,048/159,516 = 159,516/x
3. Step 3: Cross multiply
   105,048x = 159,516 × 159,516
4. Step 4: Simplify right side
   105,048x = 25,445,354,256
5. Step 5: Solve for x
   x = 25,445,354,256/105,048
6. Step 6: Final answer
   x = 242,225.98