Finding the Third Proportional to 105,068 and 159,546

Step by Step Solution

1. Step 1: Write the proportion equation
   105,068 : 159,546 = 159,546 : x
2. Step 2: Convert to fraction form
   105,068/159,546 = 159,546/x
3. Step 3: Cross multiply
   105,068x = 159,546 × 159,546
4. Step 4: Simplify right side
   105,068x = 25,454,926,116
5. Step 5: Solve for x
   x = 25,454,926,116/105,068
6. Step 6: Final answer
   x = 242,270.97