Finding the Third Proportional to 67,758 and 146,812

Step by Step Solution

1. Step 1: Write the proportion equation
   67,758 : 146,812 = 146,812 : x
2. Step 2: Convert to fraction form
   67,758/146,812 = 146,812/x
3. Step 3: Cross multiply
   67,758x = 146,812 × 146,812
4. Step 4: Simplify right side
   67,758x = 21,553,763,344
5. Step 5: Solve for x
   x = 21,553,763,344/67,758
6. Step 6: Final answer
   x = 318,099.17