Finding the Third Proportional to 67,311 and 146,846

Step by Step Solution

1. Step 1: Write the proportion equation
   67,311 : 146,846 = 146,846 : x
2. Step 2: Convert to fraction form
   67,311/146,846 = 146,846/x
3. Step 3: Cross multiply
   67,311x = 146,846 × 146,846
4. Step 4: Simplify right side
   67,311x = 21,563,747,716
5. Step 5: Solve for x
   x = 21,563,747,716/67,311
6. Step 6: Final answer
   x = 320,359.94