Finding the Third Proportional to 120,144 and 182,808

Step by Step Solution

1. Step 1: Write the proportion equation
   120,144 : 182,808 = 182,808 : x
2. Step 2: Convert to fraction form
   120,144/182,808 = 182,808/x
3. Step 3: Cross multiply
   120,144x = 182,808 × 182,808
4. Step 4: Simplify right side
   120,144x = 33,418,764,864
5. Step 5: Solve for x
   x = 33,418,764,864/120,144
6. Step 6: Final answer
   x = 278,155.92