Finding the Third Proportional to 67,181 and 146,642

Step by Step Solution

1. Step 1: Write the proportion equation
   67,181 : 146,642 = 146,642 : x
2. Step 2: Convert to fraction form
   67,181/146,642 = 146,642/x
3. Step 3: Cross multiply
   67,181x = 146,642 × 146,642
4. Step 4: Simplify right side
   67,181x = 21,503,876,164
5. Step 5: Solve for x
   x = 21,503,876,164/67,181
6. Step 6: Final answer
   x = 320,088.66