Finding the Third Proportional to 175,792 and 279,496

Step by Step Solution

1. Step 1: Write the proportion equation
   175,792 : 279,496 = 279,496 : x
2. Step 2: Convert to fraction form
   175,792/279,496 = 279,496/x
3. Step 3: Cross multiply
   175,792x = 279,496 × 279,496
4. Step 4: Simplify right side
   175,792x = 78,118,014,016
5. Step 5: Solve for x
   x = 78,118,014,016/175,792
6. Step 6: Final answer
   x = 444,377.53