Finding the Third Proportional to 243,586 and 382,648

Step by Step Solution

1. Step 1: Write the proportion equation
   243,586 : 382,648 = 382,648 : x
2. Step 2: Convert to fraction form
   243,586/382,648 = 382,648/x
3. Step 3: Cross multiply
   243,586x = 382,648 × 382,648
4. Step 4: Simplify right side
   243,586x = 146,419,491,904
5. Step 5: Solve for x
   x = 146,419,491,904/243,586
6. Step 6: Final answer
   x = 601,099.78