Finding the Third Proportional to 175,344 and 383,492

Step by Step Solution

1. Step 1: Write the proportion equation
   175,344 : 383,492 = 383,492 : x
2. Step 2: Convert to fraction form
   175,344/383,492 = 383,492/x
3. Step 3: Cross multiply
   175,344x = 383,492 × 383,492
4. Step 4: Simplify right side
   175,344x = 147,066,114,064
5. Step 5: Solve for x
   x = 147,066,114,064/175,344
6. Step 6: Final answer
   x = 838,729.09