Finding the Third Proportional to 57,782.25 and 126,198

Step by Step Solution

1. Step 1: Write the proportion equation
   57,782.25 : 126,198 = 126,198 : x
2. Step 2: Convert to fraction form
   57,782.25/126,198 = 126,198/x
3. Step 3: Cross multiply
   57,782.25x = 126,198 × 126,198
4. Step 4: Simplify right side
   57,782.25x = 15,925,935,204
5. Step 5: Solve for x
   x = 15,925,935,204/57,782.25
6. Step 6: Final answer
   x = 275,619.85