Finding the Third Proportional to 175,538 and 259,443

Step by Step Solution

1. Step 1: Write the proportion equation
   175,538 : 259,443 = 259,443 : x
2. Step 2: Convert to fraction form
   175,538/259,443 = 259,443/x
3. Step 3: Cross multiply
   175,538x = 259,443 × 259,443
4. Step 4: Simplify right side
   175,538x = 67,310,670,249
5. Step 5: Solve for x
   x = 67,310,670,249/175,538
6. Step 6: Final answer
   x = 383,453.56