Finding the Third Proportional to 81,867 and 146,886

Step by Step Solution

1. Step 1: Write the proportion equation
   81,867 : 146,886 = 146,886 : x
2. Step 2: Convert to fraction form
   81,867/146,886 = 146,886/x
3. Step 3: Cross multiply
   81,867x = 146,886 × 146,886
4. Step 4: Simplify right side
   81,867x = 21,575,496,996
5. Step 5: Solve for x
   x = 21,575,496,996/81,867
6. Step 6: Final answer
   x = 263,543.27