Finding the Third Proportional to 67,768 and 145,328

Step by Step Solution

1. Step 1: Write the proportion equation
   67,768 : 145,328 = 145,328 : x
2. Step 2: Convert to fraction form
   67,768/145,328 = 145,328/x
3. Step 3: Cross multiply
   67,768x = 145,328 × 145,328
4. Step 4: Simplify right side
   67,768x = 21,120,227,584
5. Step 5: Solve for x
   x = 21,120,227,584/67,768
6. Step 6: Final answer
   x = 311,654.88