Finding the Third Proportional to 105,124 and 158,774

Step by Step Solution

1. Step 1: Write the proportion equation
   105,124 : 158,774 = 158,774 : x
2. Step 2: Convert to fraction form
   105,124/158,774 = 158,774/x
3. Step 3: Cross multiply
   105,124x = 158,774 × 158,774
4. Step 4: Simplify right side
   105,124x = 25,209,183,076
5. Step 5: Solve for x
   x = 25,209,183,076/105,124
6. Step 6: Final answer
   x = 239,804.26