Finding the Third Proportional to 175,349 and 383,510

Step by Step Solution

1. Step 1: Write the proportion equation
   175,349 : 383,510 = 383,510 : x
2. Step 2: Convert to fraction form
   175,349/383,510 = 383,510/x
3. Step 3: Cross multiply
   175,349x = 383,510 × 383,510
4. Step 4: Simplify right side
   175,349x = 147,079,920,100
5. Step 5: Solve for x
   x = 147,079,920,100/175,349
6. Step 6: Final answer
   x = 838,783.91