Finding the Third Proportional to 67,665 and 146,856

Step by Step Solution

1. Step 1: Write the proportion equation
   67,665 : 146,856 = 146,856 : x
2. Step 2: Convert to fraction form
   67,665/146,856 = 146,856/x
3. Step 3: Cross multiply
   67,665x = 146,856 × 146,856
4. Step 4: Simplify right side
   67,665x = 21,566,684,736
5. Step 5: Solve for x
   x = 21,566,684,736/67,665
6. Step 6: Final answer
   x = 318,727.33