Finding the Third Proportional to 114,688 and 173,760

Step by Step Solution

1. Step 1: Write the proportion equation
   114,688 : 173,760 = 173,760 : x
2. Step 2: Convert to fraction form
   114,688/173,760 = 173,760/x
3. Step 3: Cross multiply
   114,688x = 173,760 × 173,760
4. Step 4: Simplify right side
   114,688x = 30,192,537,600
5. Step 5: Solve for x
   x = 30,192,537,600/114,688
6. Step 6: Final answer
   x = 263,258.04