Finding the Third Proportional to 52,767 and 113,846

Step by Step Solution

1. Step 1: Write the proportion equation
   52,767 : 113,846 = 113,846 : x
2. Step 2: Convert to fraction form
   52,767/113,846 = 113,846/x
3. Step 3: Cross multiply
   52,767x = 113,846 × 113,846
4. Step 4: Simplify right side
   52,767x = 12,960,911,716
5. Step 5: Solve for x
   x = 12,960,911,716/52,767
6. Step 6: Final answer
   x = 245,625.33