Finding the Third Proportional to 146,940 and 320,520

Step by Step Solution

1. Step 1: Write the proportion equation
   146,940 : 320,520 = 320,520 : x
2. Step 2: Convert to fraction form
   146,940/320,520 = 320,520/x
3. Step 3: Cross multiply
   146,940x = 320,520 × 320,520
4. Step 4: Simplify right side
   146,940x = 102,733,070,400
5. Step 5: Solve for x
   x = 102,733,070,400/146,940
6. Step 6: Final answer
   x = 699,149.79