Finding the Third Proportional to 67,724 and 145,168

Step by Step Solution

1. Step 1: Write the proportion equation
   67,724 : 145,168 = 145,168 : x
2. Step 2: Convert to fraction form
   67,724/145,168 = 145,168/x
3. Step 3: Cross multiply
   67,724x = 145,168 × 145,168
4. Step 4: Simplify right side
   67,724x = 21,073,748,224
5. Step 5: Solve for x
   x = 21,073,748,224/67,724
6. Step 6: Final answer
   x = 311,171.05