Finding the Third Proportional to 72,180 and 113,256

Step by Step Solution

1. Step 1: Write the proportion equation
   72,180 : 113,256 = 113,256 : x
2. Step 2: Convert to fraction form
   72,180/113,256 = 113,256/x
3. Step 3: Cross multiply
   72,180x = 113,256 × 113,256
4. Step 4: Simplify right side
   72,180x = 12,826,921,536
5. Step 5: Solve for x
   x = 12,826,921,536/72,180
6. Step 6: Final answer
   x = 177,707.42