Finding the Third Proportional to 146,388 and 321,288

Step by Step Solution

1. Step 1: Write the proportion equation
   146,388 : 321,288 = 321,288 : x
2. Step 2: Convert to fraction form
   146,388/321,288 = 321,288/x
3. Step 3: Cross multiply
   146,388x = 321,288 × 321,288
4. Step 4: Simplify right side
   146,388x = 103,225,978,944
5. Step 5: Solve for x
   x = 103,225,978,944/146,388
6. Step 6: Final answer
   x = 705,153.28