Finding the Third Proportional to 114,608 and 177,096

Step by Step Solution

1. Step 1: Write the proportion equation
   114,608 : 177,096 = 177,096 : x
2. Step 2: Convert to fraction form
   114,608/177,096 = 177,096/x
3. Step 3: Cross multiply
   114,608x = 177,096 × 177,096
4. Step 4: Simplify right side
   114,608x = 31,362,993,216
5. Step 5: Solve for x
   x = 31,362,993,216/114,608
6. Step 6: Final answer
   x = 273,654.48