Finding the Third Proportional to 76,568 and 112,180

Step by Step Solution

1. Step 1: Write the proportion equation
   76,568 : 112,180 = 112,180 : x
2. Step 2: Convert to fraction form
   76,568/112,180 = 112,180/x
3. Step 3: Cross multiply
   76,568x = 112,180 × 112,180
4. Step 4: Simplify right side
   76,568x = 12,584,352,400
5. Step 5: Solve for x
   x = 12,584,352,400/76,568
6. Step 6: Final answer
   x = 164,355.25