Finding the Third Proportional to 67,538 and 146,968

Step by Step Solution

1. Step 1: Write the proportion equation
   67,538 : 146,968 = 146,968 : x
2. Step 2: Convert to fraction form
   67,538/146,968 = 146,968/x
3. Step 3: Cross multiply
   67,538x = 146,968 × 146,968
4. Step 4: Simplify right side
   67,538x = 21,599,593,024
5. Step 5: Solve for x
   x = 21,599,593,024/67,538
6. Step 6: Final answer
   x = 319,813.93