Finding the Third Proportional to 304,302 and 456,510

Step by Step Solution

1. Step 1: Write the proportion equation
   304,302 : 456,510 = 456,510 : x
2. Step 2: Convert to fraction form
   304,302/456,510 = 456,510/x
3. Step 3: Cross multiply
   304,302x = 456,510 × 456,510
4. Step 4: Simplify right side
   304,302x = 208,401,380,100
5. Step 5: Solve for x
   x = 208,401,380,100/304,302
6. Step 6: Final answer
   x = 684,850.51