Finding the Third Proportional to 37,568 and 78,928

Step by Step Solution

1. Step 1: Write the proportion equation
   37,568 : 78,928 = 78,928 : x
2. Step 2: Convert to fraction form
   37,568/78,928 = 78,928/x
3. Step 3: Cross multiply
   37,568x = 78,928 × 78,928
4. Step 4: Simplify right side
   37,568x = 6,229,629,184
5. Step 5: Solve for x
   x = 6,229,629,184/37,568
6. Step 6: Final answer
   x = 165,822.75