Finding the Third Proportional to 67,181 and 146,458

Step by Step Solution

1. Step 1: Write the proportion equation
   67,181 : 146,458 = 146,458 : x
2. Step 2: Convert to fraction form
   67,181/146,458 = 146,458/x
3. Step 3: Cross multiply
   67,181x = 146,458 × 146,458
4. Step 4: Simplify right side
   67,181x = 21,449,945,764
5. Step 5: Solve for x
   x = 21,449,945,764/67,181
6. Step 6: Final answer
   x = 319,285.90