Finding the Third Proportional to 51,977 and 113,826

Step by Step Solution

1. Step 1: Write the proportion equation
   51,977 : 113,826 = 113,826 : x
2. Step 2: Convert to fraction form
   51,977/113,826 = 113,826/x
3. Step 3: Cross multiply
   51,977x = 113,826 × 113,826
4. Step 4: Simplify right side
   51,977x = 12,956,358,276
5. Step 5: Solve for x
   x = 12,956,358,276/51,977
6. Step 6: Final answer
   x = 249,270.99