Finding the Third Proportional to 66,783 and 142,770

Step by Step Solution

1. Step 1: Write the proportion equation
   66,783 : 142,770 = 142,770 : x
2. Step 2: Convert to fraction form
   66,783/142,770 = 142,770/x
3. Step 3: Cross multiply
   66,783x = 142,770 × 142,770
4. Step 4: Simplify right side
   66,783x = 20,383,272,900
5. Step 5: Solve for x
   x = 20,383,272,900/66,783
6. Step 6: Final answer
   x = 305,216.49