Finding the Third Proportional to 166,500 and 260,910

Step by Step Solution

1. Step 1: Write the proportion equation
   166,500 : 260,910 = 260,910 : x
2. Step 2: Convert to fraction form
   166,500/260,910 = 260,910/x
3. Step 3: Cross multiply
   166,500x = 260,910 × 260,910
4. Step 4: Simplify right side
   166,500x = 68,074,028,100
5. Step 5: Solve for x
   x = 68,074,028,100/166,500
6. Step 6: Final answer
   x = 408,853.02