Finding the Third Proportional to 105,138 and 159,894

Step by Step Solution

1. Step 1: Write the proportion equation
   105,138 : 159,894 = 159,894 : x
2. Step 2: Convert to fraction form
   105,138/159,894 = 159,894/x
3. Step 3: Cross multiply
   105,138x = 159,894 × 159,894
4. Step 4: Simplify right side
   105,138x = 25,566,091,236
5. Step 5: Solve for x
   x = 25,566,091,236/105,138
6. Step 6: Final answer
   x = 243,166.99