Finding the Third Proportional to 67,674 and 146,253

Step by Step Solution

1. Step 1: Write the proportion equation
   67,674 : 146,253 = 146,253 : x
2. Step 2: Convert to fraction form
   67,674/146,253 = 146,253/x
3. Step 3: Cross multiply
   67,674x = 146,253 × 146,253
4. Step 4: Simplify right side
   67,674x = 21,389,940,009
5. Step 5: Solve for x
   x = 21,389,940,009/67,674
6. Step 6: Final answer
   x = 316,073.23