Finding the Third Proportional to 166,059.50 and 264,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,059.50 : 264,361.50 = 264,361.50 : x
2. Step 2: Convert to fraction form
   166,059.50/264,361.50 = 264,361.50/x
3. Step 3: Cross multiply
   166,059.50x = 264,361.50 × 264,361.50
4. Step 4: Simplify right side
   166,059.50x = 69,887,002,682.25
5. Step 5: Solve for x
   x = 69,887,002,682.25/166,059.50
6. Step 6: Final answer
   x = 420,855.19