Finding the Third Proportional to 65,878 and 146,494

Step by Step Solution

1. Step 1: Write the proportion equation
   65,878 : 146,494 = 146,494 : x
2. Step 2: Convert to fraction form
   65,878/146,494 = 146,494/x
3. Step 3: Cross multiply
   65,878x = 146,494 × 146,494
4. Step 4: Simplify right side
   65,878x = 21,460,492,036
5. Step 5: Solve for x
   x = 21,460,492,036/65,878
6. Step 6: Final answer
   x = 325,761.13