Finding the Third Proportional to 303,814 and 654,320

Step by Step Solution

1. Step 1: Write the proportion equation
   303,814 : 654,320 = 654,320 : x
2. Step 2: Convert to fraction form
   303,814/654,320 = 654,320/x
3. Step 3: Cross multiply
   303,814x = 654,320 × 654,320
4. Step 4: Simplify right side
   303,814x = 428,134,662,400
5. Step 5: Solve for x
   x = 428,134,662,400/303,814
6. Step 6: Final answer
   x = 1,409,199.91