Finding the Third Proportional to 149,638 and 320,030

Step by Step Solution

1. Step 1: Write the proportion equation
   149,638 : 320,030 = 320,030 : x
2. Step 2: Convert to fraction form
   149,638/320,030 = 320,030/x
3. Step 3: Cross multiply
   149,638x = 320,030 × 320,030
4. Step 4: Simplify right side
   149,638x = 102,419,200,900
5. Step 5: Solve for x
   x = 102,419,200,900/149,638
6. Step 6: Final answer
   x = 684,446.47