Finding the Third Proportional to 67,513 and 145,414

Step by Step Solution

1. Step 1: Write the proportion equation
   67,513 : 145,414 = 145,414 : x
2. Step 2: Convert to fraction form
   67,513/145,414 = 145,414/x
3. Step 3: Cross multiply
   67,513x = 145,414 × 145,414
4. Step 4: Simplify right side
   67,513x = 21,145,231,396
5. Step 5: Solve for x
   x = 21,145,231,396/67,513
6. Step 6: Final answer
   x = 313,202.37