Finding the Third Proportional to 105,894 and 158,814

Step by Step Solution

1. Step 1: Write the proportion equation
   105,894 : 158,814 = 158,814 : x
2. Step 2: Convert to fraction form
   105,894/158,814 = 158,814/x
3. Step 3: Cross multiply
   105,894x = 158,814 × 158,814
4. Step 4: Simplify right side
   105,894x = 25,221,886,596
5. Step 5: Solve for x
   x = 25,221,886,596/105,894
6. Step 6: Final answer
   x = 238,180.51