Finding the Third Proportional to 66,780 and 142,764

Step by Step Solution

1. Step 1: Write the proportion equation
   66,780 : 142,764 = 142,764 : x
2. Step 2: Convert to fraction form
   66,780/142,764 = 142,764/x
3. Step 3: Cross multiply
   66,780x = 142,764 × 142,764
4. Step 4: Simplify right side
   66,780x = 20,381,559,696
5. Step 5: Solve for x
   x = 20,381,559,696/66,780
6. Step 6: Final answer
   x = 305,204.55