Finding the Third Proportional to 80,582 and 122,650

Step by Step Solution

1. Step 1: Write the proportion equation
   80,582 : 122,650 = 122,650 : x
2. Step 2: Convert to fraction form
   80,582/122,650 = 122,650/x
3. Step 3: Cross multiply
   80,582x = 122,650 × 122,650
4. Step 4: Simplify right side
   80,582x = 15,043,022,500
5. Step 5: Solve for x
   x = 15,043,022,500/80,582
6. Step 6: Final answer
   x = 186,679.69