Finding the Third Proportional to 269,908 and 384,492

Step by Step Solution

1. Step 1: Write the proportion equation
   269,908 : 384,492 = 384,492 : x
2. Step 2: Convert to fraction form
   269,908/384,492 = 384,492/x
3. Step 3: Cross multiply
   269,908x = 384,492 × 384,492
4. Step 4: Simplify right side
   269,908x = 147,834,098,064
5. Step 5: Solve for x
   x = 147,834,098,064/269,908
6. Step 6: Final answer
   x = 547,720.33