Finding the Third Proportional to 66,642 and 140,766

Step by Step Solution

1. Step 1: Write the proportion equation
   66,642 : 140,766 = 140,766 : x
2. Step 2: Convert to fraction form
   66,642/140,766 = 140,766/x
3. Step 3: Cross multiply
   66,642x = 140,766 × 140,766
4. Step 4: Simplify right side
   66,642x = 19,815,066,756
5. Step 5: Solve for x
   x = 19,815,066,756/66,642
6. Step 6: Final answer
   x = 297,336.02