Finding the Third Proportional to 309,970 and 476,667

Step by Step Solution

1. Step 1: Write the proportion equation
   309,970 : 476,667 = 476,667 : x
2. Step 2: Convert to fraction form
   309,970/476,667 = 476,667/x
3. Step 3: Cross multiply
   309,970x = 476,667 × 476,667
4. Step 4: Simplify right side
   309,970x = 227,211,428,889
5. Step 5: Solve for x
   x = 227,211,428,889/309,970
6. Step 6: Final answer
   x = 733,011.03