Finding the Third Proportional to 67,884 and 145,496

Step by Step Solution

1. Step 1: Write the proportion equation
   67,884 : 145,496 = 145,496 : x
2. Step 2: Convert to fraction form
   67,884/145,496 = 145,496/x
3. Step 3: Cross multiply
   67,884x = 145,496 × 145,496
4. Step 4: Simplify right side
   67,884x = 21,169,086,016
5. Step 5: Solve for x
   x = 21,169,086,016/67,884
6. Step 6: Final answer
   x = 311,842.05