Finding the Third Proportional to 120,530 and 180,066

Step by Step Solution

1. Step 1: Write the proportion equation
   120,530 : 180,066 = 180,066 : x
2. Step 2: Convert to fraction form
   120,530/180,066 = 180,066/x
3. Step 3: Cross multiply
   120,530x = 180,066 × 180,066
4. Step 4: Simplify right side
   120,530x = 32,423,764,356
5. Step 5: Solve for x
   x = 32,423,764,356/120,530
6. Step 6: Final answer
   x = 269,009.91