Finding the Third Proportional to 80,900 and 120,726

Step by Step Solution

1. Step 1: Write the proportion equation
   80,900 : 120,726 = 120,726 : x
2. Step 2: Convert to fraction form
   80,900/120,726 = 120,726/x
3. Step 3: Cross multiply
   80,900x = 120,726 × 120,726
4. Step 4: Simplify right side
   80,900x = 14,574,767,076
5. Step 5: Solve for x
   x = 14,574,767,076/80,900
6. Step 6: Final answer
   x = 180,157.81