Finding the Third Proportional to 67,878 and 103,570

Step by Step Solution

1. Step 1: Write the proportion equation
   67,878 : 103,570 = 103,570 : x
2. Step 2: Convert to fraction form
   67,878/103,570 = 103,570/x
3. Step 3: Cross multiply
   67,878x = 103,570 × 103,570
4. Step 4: Simplify right side
   67,878x = 10,726,744,900
5. Step 5: Solve for x
   x = 10,726,744,900/67,878
6. Step 6: Final answer
   x = 158,029.77