Finding the Third Proportional to 80,941.50 and 120,582

Step by Step Solution

1. Step 1: Write the proportion equation
   80,941.50 : 120,582 = 120,582 : x
2. Step 2: Convert to fraction form
   80,941.50/120,582 = 120,582/x
3. Step 3: Cross multiply
   80,941.50x = 120,582 × 120,582
4. Step 4: Simplify right side
   80,941.50x = 14,540,018,724
5. Step 5: Solve for x
   x = 14,540,018,724/80,941.50
6. Step 6: Final answer
   x = 179,636.14