Finding the Third Proportional to 67,509 and 145,406

Step by Step Solution

1. Step 1: Write the proportion equation
   67,509 : 145,406 = 145,406 : x
2. Step 2: Convert to fraction form
   67,509/145,406 = 145,406/x
3. Step 3: Cross multiply
   67,509x = 145,406 × 145,406
4. Step 4: Simplify right side
   67,509x = 21,142,904,836
5. Step 5: Solve for x
   x = 21,142,904,836/67,509
6. Step 6: Final answer
   x = 313,186.46