Finding the Third Proportional to 65,960 and 146,684

Step by Step Solution

1. Step 1: Write the proportion equation
   65,960 : 146,684 = 146,684 : x
2. Step 2: Convert to fraction form
   65,960/146,684 = 146,684/x
3. Step 3: Cross multiply
   65,960x = 146,684 × 146,684
4. Step 4: Simplify right side
   65,960x = 21,516,195,856
5. Step 5: Solve for x
   x = 21,516,195,856/65,960
6. Step 6: Final answer
   x = 326,200.66