Finding the Third Proportional to 146,398 and 321,308

Step by Step Solution

1. Step 1: Write the proportion equation
   146,398 : 321,308 = 321,308 : x
2. Step 2: Convert to fraction form
   146,398/321,308 = 321,308/x
3. Step 3: Cross multiply
   146,398x = 321,308 × 321,308
4. Step 4: Simplify right side
   146,398x = 103,238,830,864
5. Step 5: Solve for x
   x = 103,238,830,864/146,398
6. Step 6: Final answer
   x = 705,192.90