Finding the Third Proportional to 71,538 and 113,256

Step by Step Solution

1. Step 1: Write the proportion equation
   71,538 : 113,256 = 113,256 : x
2. Step 2: Convert to fraction form
   71,538/113,256 = 113,256/x
3. Step 3: Cross multiply
   71,538x = 113,256 × 113,256
4. Step 4: Simplify right side
   71,538x = 12,826,921,536
5. Step 5: Solve for x
   x = 12,826,921,536/71,538
6. Step 6: Final answer
   x = 179,302.21