Finding the Third Proportional to 147,338 and 321,662

Step by Step Solution

1. Step 1: Write the proportion equation
   147,338 : 321,662 = 321,662 : x
2. Step 2: Convert to fraction form
   147,338/321,662 = 321,662/x
3. Step 3: Cross multiply
   147,338x = 321,662 × 321,662
4. Step 4: Simplify right side
   147,338x = 103,466,442,244
5. Step 5: Solve for x
   x = 103,466,442,244/147,338
6. Step 6: Final answer
   x = 702,238.68