Finding the Third Proportional to 185,928 and 274,500

Step by Step Solution

1. Step 1: Write the proportion equation
   185,928 : 274,500 = 274,500 : x
2. Step 2: Convert to fraction form
   185,928/274,500 = 274,500/x
3. Step 3: Cross multiply
   185,928x = 274,500 × 274,500
4. Step 4: Simplify right side
   185,928x = 75,350,250,000
5. Step 5: Solve for x
   x = 75,350,250,000/185,928
6. Step 6: Final answer
   x = 405,265.75