Finding the Third Proportional to 182,749 and 274,123

Step by Step Solution

1. Step 1: Write the proportion equation
   182,749 : 274,123 = 274,123 : x
2. Step 2: Convert to fraction form
   182,749/274,123 = 274,123/x
3. Step 3: Cross multiply
   182,749x = 274,123 × 274,123
4. Step 4: Simplify right side
   182,749x = 75,143,419,129
5. Step 5: Solve for x
   x = 75,143,419,129/182,749
6. Step 6: Final answer
   x = 411,183.75