Finding the Third Proportional to 357,814 and 484,222

Step by Step Solution

1. Step 1: Write the proportion equation
   357,814 : 484,222 = 484,222 : x
2. Step 2: Convert to fraction form
   357,814/484,222 = 484,222/x
3. Step 3: Cross multiply
   357,814x = 484,222 × 484,222
4. Step 4: Simplify right side
   357,814x = 234,470,945,284
5. Step 5: Solve for x
   x = 234,470,945,284/357,814
6. Step 6: Final answer
   x = 655,287.23