Finding the Third Proportional to 175,346 and 383,494

Step by Step Solution

1. Step 1: Write the proportion equation
   175,346 : 383,494 = 383,494 : x
2. Step 2: Convert to fraction form
   175,346/383,494 = 383,494/x
3. Step 3: Cross multiply
   175,346x = 383,494 × 383,494
4. Step 4: Simplify right side
   175,346x = 147,067,648,036
5. Step 5: Solve for x
   x = 147,067,648,036/175,346
6. Step 6: Final answer
   x = 838,728.27