Finding the Third Proportional to 300,463 and 609,223

Step by Step Solution

1. Step 1: Write the proportion equation
   300,463 : 609,223 = 609,223 : x
2. Step 2: Convert to fraction form
   300,463/609,223 = 609,223/x
3. Step 3: Cross multiply
   300,463x = 609,223 × 609,223
4. Step 4: Simplify right side
   300,463x = 371,152,663,729
5. Step 5: Solve for x
   x = 371,152,663,729/300,463
6. Step 6: Final answer
   x = 1,235,269.11