Finding the Third Proportional to 142,643 and 301,204

Step by Step Solution

1. Step 1: Write the proportion equation
   142,643 : 301,204 = 301,204 : x
2. Step 2: Convert to fraction form
   142,643/301,204 = 301,204/x
3. Step 3: Cross multiply
   142,643x = 301,204 × 301,204
4. Step 4: Simplify right side
   142,643x = 90,723,849,616
5. Step 5: Solve for x
   x = 90,723,849,616/142,643
6. Step 6: Final answer
   x = 636,020.34