Finding the Third Proportional to 357,984 and 484,434

Step by Step Solution

1. Step 1: Write the proportion equation
   357,984 : 484,434 = 484,434 : x
2. Step 2: Convert to fraction form
   357,984/484,434 = 484,434/x
3. Step 3: Cross multiply
   357,984x = 484,434 × 484,434
4. Step 4: Simplify right side
   357,984x = 234,676,300,356
5. Step 5: Solve for x
   x = 234,676,300,356/357,984
6. Step 6: Final answer
   x = 655,549.69