Finding the Third Proportional to 65,874 and 146,486

Step by Step Solution

1. Step 1: Write the proportion equation
   65,874 : 146,486 = 146,486 : x
2. Step 2: Convert to fraction form
   65,874/146,486 = 146,486/x
3. Step 3: Cross multiply
   65,874x = 146,486 × 146,486
4. Step 4: Simplify right side
   65,874x = 21,458,148,196
5. Step 5: Solve for x
   x = 21,458,148,196/65,874
6. Step 6: Final answer
   x = 325,745.33