Finding the Third Proportional to 140,649 and 301,620

Step by Step Solution

1. Step 1: Write the proportion equation
   140,649 : 301,620 = 301,620 : x
2. Step 2: Convert to fraction form
   140,649/301,620 = 301,620/x
3. Step 3: Cross multiply
   140,649x = 301,620 × 301,620
4. Step 4: Simplify right side
   140,649x = 90,974,624,400
5. Step 5: Solve for x
   x = 90,974,624,400/140,649
6. Step 6: Final answer
   x = 646,820.27