Finding the Third Proportional to 113,872 and 180,945

Step by Step Solution

1. Step 1: Write the proportion equation
   113,872 : 180,945 = 180,945 : x
2. Step 2: Convert to fraction form
   113,872/180,945 = 180,945/x
3. Step 3: Cross multiply
   113,872x = 180,945 × 180,945
4. Step 4: Simplify right side
   113,872x = 32,741,093,025
5. Step 5: Solve for x
   x = 32,741,093,025/113,872
6. Step 6: Final answer
   x = 287,525.41