Finding the Third Proportional to 181,096 and 274,654

Step by Step Solution

1. Step 1: Write the proportion equation
   181,096 : 274,654 = 274,654 : x
2. Step 2: Convert to fraction form
   181,096/274,654 = 274,654/x
3. Step 3: Cross multiply
   181,096x = 274,654 × 274,654
4. Step 4: Simplify right side
   181,096x = 75,434,819,716
5. Step 5: Solve for x
   x = 75,434,819,716/181,096
6. Step 6: Final answer
   x = 416,546.03