Finding the Third Proportional to 67,414 and 146,493

Step by Step Solution

1. Step 1: Write the proportion equation
   67,414 : 146,493 = 146,493 : x
2. Step 2: Convert to fraction form
   67,414/146,493 = 146,493/x
3. Step 3: Cross multiply
   67,414x = 146,493 × 146,493
4. Step 4: Simplify right side
   67,414x = 21,460,199,049
5. Step 5: Solve for x
   x = 21,460,199,049/67,414
6. Step 6: Final answer
   x = 318,334.46