Finding the Third Proportional to 67,178 and 144,724

Step by Step Solution

1. Step 1: Write the proportion equation
   67,178 : 144,724 = 144,724 : x
2. Step 2: Convert to fraction form
   67,178/144,724 = 144,724/x
3. Step 3: Cross multiply
   67,178x = 144,724 × 144,724
4. Step 4: Simplify right side
   67,178x = 20,945,036,176
5. Step 5: Solve for x
   x = 20,945,036,176/67,178
6. Step 6: Final answer
   x = 311,784.16