Finding the Third Proportional to 67,541 and 146,974

Step by Step Solution

1. Step 1: Write the proportion equation
   67,541 : 146,974 = 146,974 : x
2. Step 2: Convert to fraction form
   67,541/146,974 = 146,974/x
3. Step 3: Cross multiply
   67,541x = 146,974 × 146,974
4. Step 4: Simplify right side
   67,541x = 21,601,356,676
5. Step 5: Solve for x
   x = 21,601,356,676/67,541
6. Step 6: Final answer
   x = 319,825.83