Finding the Third Proportional to 178,922 and 274,116

Step by Step Solution

1. Step 1: Write the proportion equation
   178,922 : 274,116 = 274,116 : x
2. Step 2: Convert to fraction form
   178,922/274,116 = 274,116/x
3. Step 3: Cross multiply
   178,922x = 274,116 × 274,116
4. Step 4: Simplify right side
   178,922x = 75,139,581,456
5. Step 5: Solve for x
   x = 75,139,581,456/178,922
6. Step 6: Final answer
   x = 419,957.20