Finding the Third Proportional to 146,569 and 321,194

Step by Step Solution

1. Step 1: Write the proportion equation
   146,569 : 321,194 = 321,194 : x
2. Step 2: Convert to fraction form
   146,569/321,194 = 321,194/x
3. Step 3: Cross multiply
   146,569x = 321,194 × 321,194
4. Step 4: Simplify right side
   146,569x = 103,165,585,636
5. Step 5: Solve for x
   x = 103,165,585,636/146,569
6. Step 6: Final answer
   x = 703,870.43