Finding the Third Proportional to 67,168 and 146,320

Step by Step Solution

1. Step 1: Write the proportion equation
   67,168 : 146,320 = 146,320 : x
2. Step 2: Convert to fraction form
   67,168/146,320 = 146,320/x
3. Step 3: Cross multiply
   67,168x = 146,320 × 146,320
4. Step 4: Simplify right side
   67,168x = 21,409,542,400
5. Step 5: Solve for x
   x = 21,409,542,400/67,168
6. Step 6: Final answer
   x = 318,746.16