Finding the Third Proportional to 52,186 and 113,772

Step by Step Solution

1. Step 1: Write the proportion equation
   52,186 : 113,772 = 113,772 : x
2. Step 2: Convert to fraction form
   52,186/113,772 = 113,772/x
3. Step 3: Cross multiply
   52,186x = 113,772 × 113,772
4. Step 4: Simplify right side
   52,186x = 12,944,067,984
5. Step 5: Solve for x
   x = 12,944,067,984/52,186
6. Step 6: Final answer
   x = 248,037.17