Finding the Third Proportional to 105,336 and 159,345

Step by Step Solution

1. Step 1: Write the proportion equation
   105,336 : 159,345 = 159,345 : x
2. Step 2: Convert to fraction form
   105,336/159,345 = 159,345/x
3. Step 3: Cross multiply
   105,336x = 159,345 × 159,345
4. Step 4: Simplify right side
   105,336x = 25,390,829,025
5. Step 5: Solve for x
   x = 25,390,829,025/105,336
6. Step 6: Final answer
   x = 241,046.07