Finding the Third Proportional to 65,878 and 146,495

Step by Step Solution

1. Step 1: Write the proportion equation
   65,878 : 146,495 = 146,495 : x
2. Step 2: Convert to fraction form
   65,878/146,495 = 146,495/x
3. Step 3: Cross multiply
   65,878x = 146,495 × 146,495
4. Step 4: Simplify right side
   65,878x = 21,460,785,025
5. Step 5: Solve for x
   x = 21,460,785,025/65,878
6. Step 6: Final answer
   x = 325,765.58