Finding the Third Proportional to 146,913 and 321,510

Step by Step Solution

1. Step 1: Write the proportion equation
   146,913 : 321,510 = 321,510 : x
2. Step 2: Convert to fraction form
   146,913/321,510 = 321,510/x
3. Step 3: Cross multiply
   146,913x = 321,510 × 321,510
4. Step 4: Simplify right side
   146,913x = 103,368,680,100
5. Step 5: Solve for x
   x = 103,368,680,100/146,913
6. Step 6: Final answer
   x = 703,604.72