Finding the Third Proportional to 146,920 and 321,520

Step by Step Solution

1. Step 1: Write the proportion equation
   146,920 : 321,520 = 321,520 : x
2. Step 2: Convert to fraction form
   146,920/321,520 = 321,520/x
3. Step 3: Cross multiply
   146,920x = 321,520 × 321,520
4. Step 4: Simplify right side
   146,920x = 103,375,110,400
5. Step 5: Solve for x
   x = 103,375,110,400/146,920
6. Step 6: Final answer
   x = 703,614.96