Finding the Third Proportional to 72,381 and 113,694

Step by Step Solution

1. Step 1: Write the proportion equation
   72,381 : 113,694 = 113,694 : x
2. Step 2: Convert to fraction form
   72,381/113,694 = 113,694/x
3. Step 3: Cross multiply
   72,381x = 113,694 × 113,694
4. Step 4: Simplify right side
   72,381x = 12,926,325,636
5. Step 5: Solve for x
   x = 12,926,325,636/72,381
6. Step 6: Final answer
   x = 178,587.28