Finding the Third Proportional to 146,897 and 321,470

Step by Step Solution

1. Step 1: Write the proportion equation
   146,897 : 321,470 = 321,470 : x
2. Step 2: Convert to fraction form
   146,897/321,470 = 321,470/x
3. Step 3: Cross multiply
   146,897x = 321,470 × 321,470
4. Step 4: Simplify right side
   146,897x = 103,342,960,900
5. Step 5: Solve for x
   x = 103,342,960,900/146,897
6. Step 6: Final answer
   x = 703,506.27