Finding the Third Proportional to 166,500 and 264,820

Step by Step Solution

1. Step 1: Write the proportion equation
   166,500 : 264,820 = 264,820 : x
2. Step 2: Convert to fraction form
   166,500/264,820 = 264,820/x
3. Step 3: Cross multiply
   166,500x = 264,820 × 264,820
4. Step 4: Simplify right side
   166,500x = 70,129,632,400
5. Step 5: Solve for x
   x = 70,129,632,400/166,500
6. Step 6: Final answer
   x = 421,198.99