Finding the Third Proportional to 81,381 and 175,920

Step by Step Solution

1. Step 1: Write the proportion equation
   81,381 : 175,920 = 175,920 : x
2. Step 2: Convert to fraction form
   81,381/175,920 = 175,920/x
3. Step 3: Cross multiply
   81,381x = 175,920 × 175,920
4. Step 4: Simplify right side
   81,381x = 30,947,846,400
5. Step 5: Solve for x
   x = 30,947,846,400/81,381
6. Step 6: Final answer
   x = 380,283.44