Finding the Third Proportional to 209,394 and 458,664

Step by Step Solution

1. Step 1: Write the proportion equation
   209,394 : 458,664 = 458,664 : x
2. Step 2: Convert to fraction form
   209,394/458,664 = 458,664/x
3. Step 3: Cross multiply
   209,394x = 458,664 × 458,664
4. Step 4: Simplify right side
   209,394x = 210,372,664,896
5. Step 5: Solve for x
   x = 210,372,664,896/209,394
6. Step 6: Final answer
   x = 1,004,673.80