Finding the Third Proportional to 113,018 and 165,470

Step by Step Solution

1. Step 1: Write the proportion equation
   113,018 : 165,470 = 165,470 : x
2. Step 2: Convert to fraction form
   113,018/165,470 = 165,470/x
3. Step 3: Cross multiply
   113,018x = 165,470 × 165,470
4. Step 4: Simplify right side
   113,018x = 27,380,320,900
5. Step 5: Solve for x
   x = 27,380,320,900/113,018
6. Step 6: Final answer
   x = 242,265.13