Finding the Third Proportional to 105,615 and 158,436

Step by Step Solution

1. Step 1: Write the proportion equation
   105,615 : 158,436 = 158,436 : x
2. Step 2: Convert to fraction form
   105,615/158,436 = 158,436/x
3. Step 3: Cross multiply
   105,615x = 158,436 × 158,436
4. Step 4: Simplify right side
   105,615x = 25,101,966,096
5. Step 5: Solve for x
   x = 25,101,966,096/105,615
6. Step 6: Final answer
   x = 237,674.25