Finding the Third Proportional to 146,634 and 321,294

Step by Step Solution

1. Step 1: Write the proportion equation
   146,634 : 321,294 = 321,294 : x
2. Step 2: Convert to fraction form
   146,634/321,294 = 321,294/x
3. Step 3: Cross multiply
   146,634x = 321,294 × 321,294
4. Step 4: Simplify right side
   146,634x = 103,229,834,436
5. Step 5: Solve for x
   x = 103,229,834,436/146,634
6. Step 6: Final answer
   x = 703,996.58