Finding the Third Proportional to 147,346 and 321,682

Step by Step Solution

1. Step 1: Write the proportion equation
   147,346 : 321,682 = 321,682 : x
2. Step 2: Convert to fraction form
   147,346/321,682 = 321,682/x
3. Step 3: Cross multiply
   147,346x = 321,682 × 321,682
4. Step 4: Simplify right side
   147,346x = 103,479,309,124
5. Step 5: Solve for x
   x = 103,479,309,124/147,346
6. Step 6: Final answer
   x = 702,287.87