Finding the Third Proportional to 103,742 and 162,570

Step by Step Solution

1. Step 1: Write the proportion equation
   103,742 : 162,570 = 162,570 : x
2. Step 2: Convert to fraction form
   103,742/162,570 = 162,570/x
3. Step 3: Cross multiply
   103,742x = 162,570 × 162,570
4. Step 4: Simplify right side
   103,742x = 26,429,004,900
5. Step 5: Solve for x
   x = 26,429,004,900/103,742
6. Step 6: Final answer
   x = 254,757.04