Finding the Third Proportional to 147,204 and 321,192

Step by Step Solution

1. Step 1: Write the proportion equation
   147,204 : 321,192 = 321,192 : x
2. Step 2: Convert to fraction form
   147,204/321,192 = 321,192/x
3. Step 3: Cross multiply
   147,204x = 321,192 × 321,192
4. Step 4: Simplify right side
   147,204x = 103,164,300,864
5. Step 5: Solve for x
   x = 103,164,300,864/147,204
6. Step 6: Final answer
   x = 700,825.39