Finding the Third Proportional to 52,770 and 113,826

Step by Step Solution

1. Step 1: Write the proportion equation
   52,770 : 113,826 = 113,826 : x
2. Step 2: Convert to fraction form
   52,770/113,826 = 113,826/x
3. Step 3: Cross multiply
   52,770x = 113,826 × 113,826
4. Step 4: Simplify right side
   52,770x = 12,956,358,276
5. Step 5: Solve for x
   x = 12,956,358,276/52,770
6. Step 6: Final answer
   x = 245,525.08