Finding the Third Proportional to 185,002 and 276,760

Step by Step Solution

1. Step 1: Write the proportion equation
   185,002 : 276,760 = 276,760 : x
2. Step 2: Convert to fraction form
   185,002/276,760 = 276,760/x
3. Step 3: Cross multiply
   185,002x = 276,760 × 276,760
4. Step 4: Simplify right side
   185,002x = 76,596,097,600
5. Step 5: Solve for x
   x = 76,596,097,600/185,002
6. Step 6: Final answer
   x = 414,028.48