Finding the Third Proportional to 113,618 and 175,746

Step by Step Solution

1. Step 1: Write the proportion equation
   113,618 : 175,746 = 175,746 : x
2. Step 2: Convert to fraction form
   113,618/175,746 = 175,746/x
3. Step 3: Cross multiply
   113,618x = 175,746 × 175,746
4. Step 4: Simplify right side
   113,618x = 30,886,656,516
5. Step 5: Solve for x
   x = 30,886,656,516/113,618
6. Step 6: Final answer
   x = 271,846.51