Finding the Third Proportional to 206,144 and 300,468

Step by Step Solution

1. Step 1: Write the proportion equation
   206,144 : 300,468 = 300,468 : x
2. Step 2: Convert to fraction form
   206,144/300,468 = 300,468/x
3. Step 3: Cross multiply
   206,144x = 300,468 × 300,468
4. Step 4: Simplify right side
   206,144x = 90,281,019,024
5. Step 5: Solve for x
   x = 90,281,019,024/206,144
6. Step 6: Final answer
   x = 437,951.23