Finding the Third Proportional to 67,538 and 144,920

Step by Step Solution

1. Step 1: Write the proportion equation
   67,538 : 144,920 = 144,920 : x
2. Step 2: Convert to fraction form
   67,538/144,920 = 144,920/x
3. Step 3: Cross multiply
   67,538x = 144,920 × 144,920
4. Step 4: Simplify right side
   67,538x = 21,001,806,400
5. Step 5: Solve for x
   x = 21,001,806,400/67,538
6. Step 6: Final answer
   x = 310,962.81