Finding the Third Proportional to 105,003 and 159,447

Step by Step Solution

1. Step 1: Write the proportion equation
   105,003 : 159,447 = 159,447 : x
2. Step 2: Convert to fraction form
   105,003/159,447 = 159,447/x
3. Step 3: Cross multiply
   105,003x = 159,447 × 159,447
4. Step 4: Simplify right side
   105,003x = 25,423,345,809
5. Step 5: Solve for x
   x = 25,423,345,809/105,003
6. Step 6: Final answer
   x = 242,120.19