Finding the Third Proportional to 113,034 and 174,747

Step by Step Solution

1. Step 1: Write the proportion equation
   113,034 : 174,747 = 174,747 : x
2. Step 2: Convert to fraction form
   113,034/174,747 = 174,747/x
3. Step 3: Cross multiply
   113,034x = 174,747 × 174,747
4. Step 4: Simplify right side
   113,034x = 30,536,514,009
5. Step 5: Solve for x
   x = 30,536,514,009/113,034
6. Step 6: Final answer
   x = 270,153.35