Finding the Third Proportional to 303,560 and 456,320

Step by Step Solution

1. Step 1: Write the proportion equation
   303,560 : 456,320 = 456,320 : x
2. Step 2: Convert to fraction form
   303,560/456,320 = 456,320/x
3. Step 3: Cross multiply
   303,560x = 456,320 × 456,320
4. Step 4: Simplify right side
   303,560x = 208,227,942,400
5. Step 5: Solve for x
   x = 208,227,942,400/303,560
6. Step 6: Final answer
   x = 685,953.16