Finding the Third Proportional to 67,874 and 146,154

Step by Step Solution

1. Step 1: Write the proportion equation
   67,874 : 146,154 = 146,154 : x
2. Step 2: Convert to fraction form
   67,874/146,154 = 146,154/x
3. Step 3: Cross multiply
   67,874x = 146,154 × 146,154
4. Step 4: Simplify right side
   67,874x = 21,360,991,716
5. Step 5: Solve for x
   x = 21,360,991,716/67,874
6. Step 6: Final answer
   x = 314,715.38