Finding the Third Proportional to 105,026 and 159,480

Step by Step Solution

1. Step 1: Write the proportion equation
   105,026 : 159,480 = 159,480 : x
2. Step 2: Convert to fraction form
   105,026/159,480 = 159,480/x
3. Step 3: Cross multiply
   105,026x = 159,480 × 159,480
4. Step 4: Simplify right side
   105,026x = 25,433,870,400
5. Step 5: Solve for x
   x = 25,433,870,400/105,026
6. Step 6: Final answer
   x = 242,167.37