Finding the Third Proportional to 65,205 and 142,866

Step by Step Solution

1. Step 1: Write the proportion equation
   65,205 : 142,866 = 142,866 : x
2. Step 2: Convert to fraction form
   65,205/142,866 = 142,866/x
3. Step 3: Cross multiply
   65,205x = 142,866 × 142,866
4. Step 4: Simplify right side
   65,205x = 20,410,693,956
5. Step 5: Solve for x
   x = 20,410,693,956/65,205
6. Step 6: Final answer
   x = 313,023.45