Finding the Third Proportional to 67,770 and 143,796

Step by Step Solution

1. Step 1: Write the proportion equation
   67,770 : 143,796 = 143,796 : x
2. Step 2: Convert to fraction form
   67,770/143,796 = 143,796/x
3. Step 3: Cross multiply
   67,770x = 143,796 × 143,796
4. Step 4: Simplify right side
   67,770x = 20,677,289,616
5. Step 5: Solve for x
   x = 20,677,289,616/67,770
6. Step 6: Final answer
   x = 305,109.78